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Commit 2017-07-23 18:29 5816424b

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refactor(*): use 'lemma' iff statement is private

Estimated changes

modified theorem lattice.bot_inf_eq
modified theorem lattice.bot_le
modified theorem lattice.bot_sup_eq
modified theorem lattice.bot_unique
modified theorem lattice.eq_bot_iff
modified theorem lattice.eq_top_iff
modified theorem lattice.inf_assoc
modified theorem lattice.inf_bot_eq
modified theorem lattice.inf_comm
modified theorem lattice.inf_eq_top_iff
modified theorem lattice.inf_idem
modified theorem lattice.inf_le_inf
modified theorem lattice.inf_le_left'
modified theorem lattice.inf_le_left
modified theorem lattice.inf_le_left_of_le
modified theorem lattice.inf_le_right'
modified theorem lattice.inf_le_right
modified theorem lattice.inf_le_right_of_le
modified theorem lattice.inf_of_le_left
modified theorem lattice.inf_of_le_right
modified theorem lattice.inf_sup_self
modified theorem lattice.inf_top_eq
modified theorem lattice.le_bot_iff
modified theorem lattice.le_inf
modified theorem lattice.le_inf_iff
modified theorem lattice.le_inf_sup
modified theorem lattice.le_of_inf_eq
modified theorem lattice.le_of_sup_eq
modified theorem lattice.le_sup_left'
modified theorem lattice.le_sup_left
modified theorem lattice.le_sup_left_of_le
modified theorem lattice.le_sup_right'
modified theorem lattice.le_sup_right
modified theorem lattice.le_sup_right_of_le
modified theorem lattice.le_top
modified theorem lattice.sup_assoc
modified theorem lattice.sup_bot_eq
modified theorem lattice.sup_comm
modified theorem lattice.sup_eq_bot_iff
modified theorem lattice.sup_idem
modified theorem lattice.sup_inf_le
modified theorem lattice.sup_inf_self
modified theorem lattice.sup_le
modified theorem lattice.sup_le_iff
modified theorem lattice.sup_le_sup
modified theorem lattice.sup_of_le_left
modified theorem lattice.sup_of_le_right
modified theorem lattice.sup_top_eq
modified theorem lattice.top_inf_eq
modified theorem lattice.top_le_iff
modified theorem lattice.top_sup_eq
modified theorem lattice.top_unique
modified theorem le_antisymm'
modified theorem lattice.inf_neg_eq_bot
modified theorem lattice.inf_sup_left
modified theorem lattice.inf_sup_right
modified theorem lattice.le_neg_of_le_neg
modified theorem lattice.le_sup_inf
modified theorem lattice.neg_bot
modified theorem lattice.neg_eq_neg_iff
modified theorem lattice.neg_eq_neg_of_eq
modified theorem lattice.neg_inf
modified theorem lattice.neg_inf_eq_bot
modified theorem lattice.neg_le_iff_neg_le
modified theorem lattice.neg_le_neg
modified theorem lattice.neg_le_neg_iff_le
modified theorem lattice.neg_le_of_neg_le
modified theorem lattice.neg_neg
modified theorem lattice.neg_sup
modified theorem lattice.neg_sup_eq_top
modified theorem lattice.neg_top
modified theorem lattice.neg_unique
modified theorem lattice.sub_eq
modified theorem lattice.sub_eq_left
modified theorem lattice.sup_inf_left
modified theorem lattice.sup_inf_right
modified theorem lattice.sup_neg_eq_top
modified theorem lattice.sup_sub_same
modified theorem lattice.inf_Sup_eq
modified theorem lattice.neg_Inf
modified theorem lattice.neg_Sup
modified theorem lattice.neg_infi
modified theorem lattice.neg_supr
modified theorem lattice.sup_Inf_eq
modified theorem lattice.Inf_empty
modified theorem lattice.Inf_eq_infi
modified theorem lattice.Inf_image
modified theorem lattice.Inf_insert
modified theorem lattice.Inf_le
modified theorem lattice.Inf_le_Inf
modified theorem lattice.Inf_le_Sup
modified theorem lattice.Inf_le_iff
modified theorem lattice.Inf_le_of_le
modified theorem lattice.Inf_singleton
modified theorem lattice.Inf_union
modified theorem lattice.Inf_univ
modified theorem lattice.Sup_empty
modified theorem lattice.Sup_eq_supr
modified theorem lattice.Sup_image
modified theorem lattice.Sup_insert
modified theorem lattice.Sup_inter_le
modified theorem lattice.Sup_le
modified theorem lattice.Sup_le_Sup
modified theorem lattice.Sup_singleton
modified theorem lattice.Sup_union
modified theorem lattice.Sup_univ
modified theorem lattice.foo'
modified theorem lattice.foo
modified theorem lattice.infi_and
modified theorem lattice.infi_comm
modified theorem lattice.infi_congr_Prop
modified theorem lattice.infi_const
modified theorem lattice.infi_empty
modified theorem lattice.infi_emptyset
modified theorem lattice.infi_exists
modified theorem lattice.infi_false
modified theorem lattice.infi_inf_eq
modified theorem lattice.infi_infi_eq_left
modified theorem lattice.infi_infi_eq_right
modified theorem lattice.infi_insert
modified theorem lattice.infi_le'
modified theorem lattice.infi_le
modified theorem lattice.infi_le_infi2
modified theorem lattice.infi_le_infi
modified theorem lattice.infi_le_infi_const
modified theorem lattice.infi_le_of_le
modified theorem lattice.infi_or
modified theorem lattice.infi_prod
modified theorem lattice.infi_sigma
modified theorem lattice.infi_singleton
modified theorem lattice.infi_subtype
modified theorem lattice.infi_sum
modified theorem lattice.infi_true
modified theorem lattice.infi_union
modified theorem lattice.infi_unit
modified theorem lattice.infi_univ
modified theorem lattice.le_Inf
modified theorem lattice.le_Inf_inter
modified theorem lattice.le_Sup
modified theorem lattice.le_Sup_iff
modified theorem lattice.le_Sup_of_le
modified theorem lattice.le_infi
modified theorem lattice.le_infi_iff
modified theorem lattice.le_supr'
modified theorem lattice.le_supr
modified theorem lattice.le_supr_of_le
modified theorem lattice.supr_and
modified theorem lattice.supr_comm
modified theorem lattice.supr_congr_Prop
modified theorem lattice.supr_const
modified theorem lattice.supr_empty
modified theorem lattice.supr_emptyset
modified theorem lattice.supr_exists
modified theorem lattice.supr_false
modified theorem lattice.supr_insert
modified theorem lattice.supr_le
modified theorem lattice.supr_le_iff
modified theorem lattice.supr_le_supr2
modified theorem lattice.supr_le_supr
modified theorem lattice.supr_le_supr_const
modified theorem lattice.supr_or
modified theorem lattice.supr_prod
modified theorem lattice.supr_sigma
modified theorem lattice.supr_singleton
modified theorem lattice.supr_subtype
modified theorem lattice.supr_sum
modified theorem lattice.supr_sup_eq
modified theorem lattice.supr_supr_eq_left
modified theorem lattice.supr_supr_eq_right
modified theorem lattice.supr_true
modified theorem lattice.supr_union
modified theorem lattice.supr_unit
modified theorem lattice.supr_univ
modified theorem Union_subset_Union2
modified theorem Union_subset_Union
modified theorem Union_subset_Union_const
modified theorem compl_image_set_of
modified theorem diff_empty
modified theorem diff_neq_empty
modified theorem directed_of_chain
modified theorem directed_on_Union
modified theorem eq_of_sup_eq_inf_eq
modified theorem filter.Inf_sets_eq_finite
modified theorem filter.Inter_mem_sets
modified theorem filter.bind_mono2
modified theorem filter.bind_mono
modified theorem filter.bind_sup
modified theorem filter.binfi_sup_eq
modified theorem filter.empty_in_sets_eq_bot
modified theorem filter.exists_ultrafilter
modified theorem filter.filter_eq
modified theorem filter.fmap_principal
modified theorem filter.image_mem_map
modified theorem filter.inf_principal
modified theorem filter.infi_sets_eq'
modified theorem filter.infi_sets_eq
modified theorem filter.infi_sets_induct
modified theorem filter.infi_sup_eq
modified theorem filter.inter_mem_sets
modified theorem filter.le_lift'
modified theorem filter.le_map_vmap
modified theorem filter.le_of_ultrafilter
modified theorem filter.le_principal_iff
modified theorem filter.le_vmap_iff_map_le
modified theorem filter.le_vmap_map
modified theorem filter.lift'_cong
modified theorem filter.lift'_id
modified theorem filter.lift'_infi
modified theorem filter.lift'_lift'_assoc
modified theorem filter.lift'_lift_assoc
modified theorem filter.lift'_mono'
modified theorem filter.lift'_mono
modified theorem filter.lift'_neq_bot_iff
modified theorem filter.lift'_principal
modified theorem filter.lift_assoc
modified theorem filter.lift_comm
modified theorem filter.lift_infi'
modified theorem filter.lift_infi
modified theorem filter.lift_lift'_assoc
modified theorem filter.lift_mono'
modified theorem filter.lift_mono
modified theorem filter.lift_neq_bot_iff
modified theorem filter.lift_principal
modified theorem filter.lift_sets_eq
modified theorem filter.map_binfi_eq
modified theorem filter.map_bot
modified theorem filter.map_compose
modified theorem filter.map_eq_bot_iff
modified theorem filter.map_id
modified theorem filter.map_infi_eq
modified theorem filter.map_infi_le
modified theorem filter.map_lift'_eq2
modified theorem filter.map_lift'_eq
modified theorem filter.map_lift_eq2
modified theorem filter.map_lift_eq
modified theorem filter.map_mono
modified theorem filter.map_principal
modified theorem filter.map_sup
modified theorem filter.map_vmap_le
modified theorem filter.mem_bind_sets
modified theorem filter.mem_bot_sets
modified theorem filter.mem_inf_sets
modified theorem filter.mem_inf_sets_of_left
modified theorem filter.mem_infi_sets
modified theorem filter.mem_join_sets
modified theorem filter.mem_lift'
modified theorem filter.mem_lift'_iff
modified theorem filter.mem_lift
modified theorem filter.mem_lift_iff
modified theorem filter.mem_map
modified theorem filter.mem_principal_sets
modified theorem filter.mem_prod_iff
modified theorem filter.mem_prod_same_iff
modified theorem filter.mem_pure
modified theorem filter.mem_return_sets
modified theorem filter.mem_sets_of_neq_bot
modified theorem filter.mem_sup_sets
modified theorem filter.mem_top_sets_iff
modified theorem filter.mem_vmap_of_mem
modified theorem filter.monotone_lift'
modified theorem filter.monotone_lift
modified theorem filter.monotone_map
modified theorem filter.monotone_mem_sets
modified theorem filter.monotone_principal
modified theorem filter.monotone_vmap
modified theorem filter.principal_bind
modified theorem filter.principal_empty
modified theorem filter.principal_eq_bot_iff
modified theorem filter.principal_eq_iff_eq
modified theorem filter.principal_le_lift'
modified theorem filter.principal_mono
modified theorem filter.principal_univ
modified theorem filter.prod_comm
modified theorem filter.prod_inf_prod
modified theorem filter.prod_lift'_lift'
modified theorem filter.prod_lift_lift
modified theorem filter.prod_map_map_eq
modified theorem filter.prod_mem_prod
modified theorem filter.prod_mono
modified theorem filter.prod_neq_bot
modified theorem filter.prod_same_eq
modified theorem filter.prod_vmap_vmap_eq
modified theorem filter.return_neq_bot
modified theorem filter.seq_mono
modified theorem filter.sup_join
modified theorem filter.sup_principal
modified theorem filter.supr_join
modified theorem filter.supr_map
modified theorem filter.supr_principal
modified theorem filter.supr_sets_eq
modified theorem filter.ultrafilter_map
modified theorem filter.ultrafilter_of_le
modified theorem filter.ultrafilter_of_spec
modified theorem filter.ultrafilter_of_split
modified theorem filter.ultrafilter_pure
modified theorem filter.ultrafilter_unique
modified theorem filter.univ_mem_sets'
modified theorem filter.univ_mem_sets
modified theorem filter.vimage_mem_vmap
modified theorem filter.vmap_eq_lift'
modified theorem filter.vmap_lift'_eq2
modified theorem filter.vmap_lift'_eq
modified theorem filter.vmap_lift_eq2
modified theorem filter.vmap_lift_eq
modified theorem filter.vmap_map
modified theorem filter.vmap_mono
modified theorem filter.vmap_neq_bot
modified theorem filter.vmap_neq_bot_of_surj
modified theorem filter.vmap_principal
modified theorem filter.vmap_vmap_comp
modified theorem implies_implies_true_iff
modified theorem inf_eq_bot_iff_le_compl
modified theorem lattice.Inf_eq_finite_sets
modified theorem lattice.Sup_le_iff
modified theorem neg_subset_neg_iff_subset
modified theorem not_not_mem_iff
modified theorem prod.fst_swap
modified theorem prod.mk.eta
modified theorem prod.snd_swap
modified theorem prod.swap_prod_mk
modified theorem prod.swap_swap
modified theorem prod.swap_swap_eq
modified theorem pure_seq_eq_map
modified theorem sUnion_eq_Union
modified theorem sUnion_mono
modified theorem set.diff_right_antimono
modified theorem set.fmap_eq_image
modified theorem set.image_swap_prod
modified theorem set.mem_prod_eq
modified theorem set.mem_seq_iff
modified theorem set.monotone_inter
modified theorem set.monotone_prod
modified theorem set.monotone_set_of
modified theorem set.prod_image_image_eq
modified theorem set.prod_inter_prod
modified theorem set.prod_mk_mem_set_prod_eq
modified theorem set.prod_mono
modified theorem set.prod_neq_empty_iff
modified theorem set.prod_vimage_eq
modified theorem set.set_of_mem_eq
modified theorem set.vimage_set_of_eq
modified theorem singleton_neq_emptyset
modified theorem ge_of_eq
modified theorem lattice.gfp_comp
modified theorem lattice.gfp_eq
modified theorem lattice.gfp_gfp
modified theorem lattice.gfp_induct
modified theorem lattice.gfp_le
modified theorem lattice.le_gfp
modified theorem lattice.le_lfp
modified theorem lattice.lfp_comp
modified theorem lattice.lfp_eq
modified theorem lattice.lfp_induct
modified theorem lattice.lfp_le
modified theorem lattice.lfp_lfp
modified theorem lattice.monotone_gfp
modified theorem lattice.monotone_lfp
modified theorem zorn.chain_chain_closure
modified theorem zorn.chain_closure_closure
modified theorem zorn.chain_closure_empty
modified theorem zorn.chain_closure_total
modified theorem zorn.chain_insert
modified theorem zorn.chain_succ
modified theorem zorn.max_chain_spec
modified theorem zorn.succ_increasing
modified theorem zorn.succ_spec
modified theorem zorn.super_of_not_max
modified theorem zorn.zorn
modified theorem zorn.zorn_weak_order
modified theorem le_dual_eq_le
modified theorem monotone_app
modified theorem monotone_comp
modified theorem monotone_const
modified theorem monotone_id
modified theorem monotone_lam
modified theorem bool.bxor_assoc
modified theorem bool.bxor_comm
modified theorem bool.bxor_ff
modified theorem bool.bxor_left_comm
modified theorem bool.bxor_self
modified theorem bool.bxor_tt
modified theorem bool.ff_bxor
modified theorem bool.ff_bxor_ff
modified theorem bool.ff_bxor_tt
modified theorem bool.tt_bxor
modified theorem bool.tt_bxor_ff
modified theorem bool.tt_bxor_tt
modified theorem list.cons_inj
modified theorem list.cons_ne_nil
modified theorem list.count_append
modified theorem list.count_concat
modified theorem list.count_cons'
modified theorem list.count_cons
modified theorem list.count_cons_ge_count
modified theorem list.count_cons_of_ne
modified theorem list.count_cons_self
modified theorem list.count_nil
modified theorem list.count_pos_of_mem
modified theorem list.count_singleton
modified theorem list.head_eq_of_cons_eq
modified theorem list.index_of_le_length
modified theorem list.index_of_lt_length
modified theorem list.ith_succ
modified theorem list.ith_zero
modified theorem list.last_cons_cons
modified theorem list.last_singleton
modified theorem list.length_taken_le
modified theorem list.mem_iff_count_pos
modified theorem list.mem_of_count_pos
modified theorem list.tail_eq_of_cons_eq
modified theorem list.taken_all
modified theorem list.taken_all_of_ge
modified theorem list.taken_cons
modified theorem list.taken_nil
modified theorem list.taken_zero
modified theorem list.dmap_cons_of_neg
modified theorem list.dmap_cons_of_pos
modified theorem list.dmap_nil
modified theorem list.exists_of_mem_dmap
modified theorem list.map_dmap_of_inv_of_pos
modified theorem list.mem_dmap
modified theorem nat.addl_succ_left
modified theorem nat.addl_zero_left
modified theorem nat.one_succ_zero
modified theorem nat.zero_has_zero
modified theorem num.bitwise_to_nat
modified theorem num.land_to_nat
modified theorem num.ldiff_to_nat
modified theorem num.lor_to_nat
modified theorem num.lxor_to_nat
modified theorem num.shiftl_to_nat
modified theorem num.shiftr_to_nat
modified theorem num.test_bit_to_nat
deleted theorem pos_num.cmp_dec_lemma
modified theorem computation.destruct_map
modified theorem computation.eq_of_bisim
modified theorem computation.map_comp
modified theorem computation.map_ret'
modified theorem computation.map_ret
modified theorem computation.map_think'
modified theorem computation.map_think
modified theorem computation.ret_bind
modified theorem computation.return_def
modified theorem computation.think_bind
modified theorem seq.append_assoc
modified theorem seq.append_nil
modified theorem seq.coinduction2
modified theorem seq.coinduction
modified theorem seq.cons_append
modified theorem seq.eq_of_bisim
modified theorem seq.eq_or_mem_of_mem_cons
modified theorem seq.exists_of_mem_map
modified theorem seq.join_append
modified theorem seq.join_cons
modified theorem seq.join_cons_cons
modified theorem seq.join_cons_nil
modified theorem seq.join_nil
modified theorem seq.map_comp
modified theorem seq.map_cons
modified theorem seq.map_id
modified theorem seq.map_nil
modified theorem seq.map_nth
modified theorem seq.map_tail
modified theorem seq.mem_cons
modified theorem seq.mem_cons_iff
modified theorem seq.mem_cons_of_mem
modified theorem seq.nil_append
modified theorem seq1.join_cons
modified theorem seq1.join_nil
modified theorem wseq.append_assoc
modified theorem wseq.append_nil
modified theorem wseq.cons_append
modified theorem wseq.destruct_append
modified theorem wseq.destruct_join
modified theorem wseq.destruct_map
modified theorem wseq.exists_of_mem_map
modified theorem wseq.join_append
modified theorem wseq.map_comp
modified theorem wseq.map_cons
modified theorem wseq.map_nil
modified theorem wseq.map_think
modified theorem wseq.nil_append
modified theorem wseq.think_append
modified theorem set.finite_image
modified theorem set.finite_insert
modified theorem set.finite_sUnion
modified theorem set.finite_singleton
modified theorem set.finite_subset
modified theorem set.finite_union
modified theorem stream.all_def
modified theorem stream.any_def
modified theorem stream.append_append_stream
modified theorem stream.append_approx_drop
modified theorem stream.approx_succ
modified theorem stream.approx_zero
modified theorem stream.bisim_simple
modified theorem stream.coinduction
modified theorem stream.composition
modified theorem stream.cons_append_stream
modified theorem stream.cons_nth_inits_core
modified theorem stream.const_eq
modified theorem stream.corec'_eq
modified theorem stream.corec_def
modified theorem stream.corec_eq
modified theorem stream.corec_id_id_eq_const
modified theorem stream.cycle_eq
modified theorem stream.cycle_singleton
modified theorem stream.drop_append_stream
modified theorem stream.drop_const
modified theorem stream.drop_drop
modified theorem stream.drop_map
modified theorem stream.drop_succ
modified theorem stream.drop_zip
modified theorem stream.eq_of_bisim
modified theorem stream.even_cons_cons
modified theorem stream.even_interleave
modified theorem stream.even_tail
modified theorem stream.exists_of_mem_map
modified theorem stream.head_cons
modified theorem stream.head_even
modified theorem stream.head_iterate
modified theorem stream.head_map
modified theorem stream.head_zip
modified theorem stream.homomorphism
modified theorem stream.identity
modified theorem stream.inits_core_eq
modified theorem stream.inits_eq
modified theorem stream.inits_tail
modified theorem stream.interchange
modified theorem stream.interleave_eq
modified theorem stream.interleave_even_odd
modified theorem stream.interleave_tail_tail
modified theorem stream.iterate_eq
modified theorem stream.iterate_id
modified theorem stream.map_append_stream
modified theorem stream.map_cons
modified theorem stream.map_const
modified theorem stream.map_eq
modified theorem stream.map_eq_apply
modified theorem stream.map_id
modified theorem stream.map_iterate
modified theorem stream.map_map
modified theorem stream.map_tail
modified theorem stream.mem_cons
modified theorem stream.mem_cons_of_mem
modified theorem stream.mem_const
modified theorem stream.mem_cycle
modified theorem stream.mem_interleave_left
modified theorem stream.mem_interleave_right
modified theorem stream.mem_map
modified theorem stream.mem_of_mem_even
modified theorem stream.mem_of_mem_odd
modified theorem stream.mem_of_nth_eq
modified theorem stream.nats_eq
modified theorem stream.nil_append_stream
modified theorem stream.nth_approx
modified theorem stream.nth_const
modified theorem stream.nth_drop
modified theorem stream.nth_even
modified theorem stream.nth_inits
modified theorem stream.nth_interleave_left
modified theorem stream.nth_interleave_right
modified theorem stream.nth_map
modified theorem stream.nth_nats
modified theorem stream.nth_odd
modified theorem stream.nth_of_bisim
modified theorem stream.nth_succ
modified theorem stream.nth_succ_iterate
modified theorem stream.nth_tails
modified theorem stream.nth_zero_cons
modified theorem stream.nth_zero_iterate
modified theorem stream.nth_zip
modified theorem stream.odd_eq
modified theorem stream.tail_cons
modified theorem stream.tail_const
modified theorem stream.tail_drop
modified theorem stream.tail_eq_drop
modified theorem stream.tail_even
modified theorem stream.tail_inits
modified theorem stream.tail_interleave
modified theorem stream.tail_iterate
modified theorem stream.tail_map
modified theorem stream.tail_zip
modified theorem stream.tails_eq
modified theorem stream.tails_eq_iterate
deleted theorem stream.take_lemma
added theorem stream.take_theorem
modified theorem stream.unfolds_eq
modified theorem stream.unfolds_head_eq
modified theorem stream.zip_eq
modified theorem stream.zip_inits_tails
modified theorem vector.map_cons
modified theorem vector.map_nil
modified theorem vector.to_list_append
modified theorem vector.to_list_cons
modified theorem vector.to_list_drop
modified theorem vector.to_list_length
modified theorem vector.to_list_mk
modified theorem vector.to_list_nil
modified theorem vector.to_list_take
modified theorem eq_iff_le_and_le
modified theorem forall_eq
modified theorem not_imp_iff_not_imp
modified theorem or_imp_iff_and_imp
modified theorem or_of_not_implies'
modified theorem or_of_not_implies
modified theorem prod.exists
modified theorem prod.forall
modified theorem prod.mk.inj_iff
modified theorem set_of_subset_set_of
modified theorem Inf_image
modified theorem Sup_image
modified theorem mem_image
modified theorem {u
modified theorem closure_prod_eq
modified theorem compact_pi_infinite
modified theorem continuous_Inf_dom
modified theorem continuous_Inf_rng
modified theorem continuous_Prop
modified theorem continuous_bot
modified theorem continuous_coinduced_dom
modified theorem continuous_coinduced_rng
modified theorem continuous_compose
modified theorem continuous_eq_le_coinduced
modified theorem continuous_fst
modified theorem continuous_generated_from
modified theorem continuous_id
modified theorem continuous_iff_induced_le
modified theorem continuous_iff_towards
modified theorem continuous_induced_dom
modified theorem continuous_induced_rng
modified theorem continuous_inf_dom
modified theorem continuous_inf_rng_left
modified theorem continuous_inf_rng_right
modified theorem continuous_infi_dom
modified theorem continuous_infi_rng
modified theorem continuous_inl
modified theorem continuous_inr
modified theorem continuous_prod_mk
modified theorem continuous_snd
modified theorem continuous_subtype_mk
modified theorem continuous_subtype_val
modified theorem continuous_sum_rec
modified theorem continuous_sup_dom_left
modified theorem continuous_sup_dom_right
modified theorem continuous_sup_rng
modified theorem continuous_top
modified theorem false_neq_true
modified theorem map_nhds_induced_eq
modified theorem map_nhds_subtype_val_eq
modified theorem nhds_induced_eq_vmap
modified theorem nhds_pi
modified theorem nhds_prod_eq
modified theorem open_induced
modified theorem open_set_prod
modified theorem open_singleton_true
modified theorem prod_eq_generate_from
modified theorem subtype.val_image
modified theorem univ_eq_true_false
modified theorem closed_Inter
modified theorem closed_closure
modified theorem closed_compl_iff_open
modified theorem closed_empty
modified theorem closed_iff_nhds
modified theorem closed_sInter
modified theorem closed_union
modified theorem closed_univ
modified theorem closure_closure
modified theorem closure_compl_eq
modified theorem closure_empty
modified theorem closure_eq_iff_closed
modified theorem closure_eq_nhds
modified theorem closure_eq_of_closed
modified theorem closure_minimal
modified theorem closure_mono
modified theorem closure_union
modified theorem closure_univ
modified theorem compact_adherence_nhdset
modified theorem eq_of_nhds_eq_nhds
modified theorem eq_of_nhds_neq_bot
modified theorem finite_subcover_of_compact
modified theorem generate_from_le
modified theorem interior_compl_eq
modified theorem interior_empty
modified theorem interior_eq_iff_open
modified theorem interior_eq_nhds
modified theorem interior_eq_of_open
modified theorem interior_inter
modified theorem interior_interior
modified theorem interior_maximal
modified theorem interior_mono
modified theorem interior_subset
modified theorem interior_subset_closure
modified theorem interior_univ
modified theorem le_of_nhds_le_nhds
modified theorem map_nhds
modified theorem mem_nhds_sets
modified theorem mem_nhds_sets_iff
modified theorem nhds_mono
modified theorem nhds_neq_bot
modified theorem nhds_sets
modified theorem nhds_supr
modified theorem open_Union
modified theorem open_compl_iff_closed
modified theorem open_diff
modified theorem open_empty
modified theorem open_iff_nhds
modified theorem open_inter
modified theorem open_interior
modified theorem open_sUnion
modified theorem open_univ
modified theorem return_le_nhds
modified theorem subset_closure
modified theorem sup_eq_generate_from
modified theorem supr_eq_generate_from
modified theorem t2_space_top
modified theorem topological_space_eq
modified theorem Cauchy.monotone_gen
modified theorem Cauchy.pure_cauchy_dense
modified theorem cauchy_downwards
modified theorem cauchy_map
modified theorem cauchy_nhds
modified theorem cauchy_pure
modified theorem cauchy_vmap
modified theorem closure_eq_inter_uniformity
modified theorem comp_le_uniformity3
modified theorem comp_le_uniformity
modified theorem comp_mem_uniformity_sets
modified theorem comp_symm_of_uniformity
modified theorem complete_of_closed
modified theorem complete_space_extension
modified theorem complete_space_separation
modified theorem continuous_of_uniform
modified theorem id_comp_rel
modified theorem interior_mem_uniformity
modified theorem le_nhds_iff_adhp_of_cauchy
modified theorem le_nhds_of_cauchy_adhp
modified theorem lift_nhds_left
modified theorem lift_nhds_right
modified theorem mem_nhds_left
modified theorem mem_nhds_right
modified theorem mem_nhds_uniformity_iff
modified theorem monotone_comp_rel
modified theorem nhds_eq_uniformity
modified theorem nhds_eq_uniformity_prod
modified theorem nhdset_of_mem_uniformity
modified theorem prod_mk_mem_comp_rel
modified theorem refl_le_uniformity
modified theorem refl_mem_uniformity
modified theorem separated_equiv
modified theorem supr_uniformity
modified theorem swap_id_rel
modified theorem symm_le_uniformity
modified theorem symm_of_uniformity
modified theorem to_topological_space_bot
modified theorem to_topological_space_mono
modified theorem to_topological_space_supr
modified theorem to_topological_space_top
modified theorem to_topological_space_vmap
modified theorem totally_bounded_iff_filter
modified theorem uniform_continuous_vmap
modified theorem uniform_space_eq
modified theorem uniformity_eq_symm
modified theorem uniformity_le_symm
modified theorem uniformity_lift_le_comp
modified theorem uniformity_lift_le_swap
modified theorem uniformly_extend_of_emb
modified theorem uniformly_extend_spec
modified theorem uniformly_extend_unique
modified theorem vmap_quotient_le_uniformity