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Commit 2019-01-28 19:59 b39d6d8a

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feat(*) refactor module

Estimated changes

modified def is_linear_map.mk'
modified theorem is_linear_map.mk'_apply
modified def linear_map.comp
modified theorem linear_map.comp_apply
modified theorem linear_map.ext
modified theorem linear_map.ext_iff
modified def linear_map.id
modified theorem linear_map.is_linear
modified structure linear_map
modified theorem one_smul
modified theorem submodule.neg_mem
modified structure submodule
modified theorem zero_smul
modified def dfinsupp.lmk
modified theorem dfinsupp.lmk_apply
modified def dfinsupp.lsingle
modified theorem dfinsupp.lsingle_apply
modified theorem dfinsupp.mk_smul
deleted theorem classical.some_spec3
modified theorem linear_equiv.coe_apply
modified def linear_equiv.of_top
modified def linear_equiv.refl
modified def linear_equiv.symm
modified def linear_equiv.trans
modified structure linear_equiv
modified theorem linear_map.comap_injective
modified theorem linear_map.comap_map_eq
modified theorem linear_map.comap_pair_prod
modified theorem linear_map.comp_id
modified def linear_map.copair
modified theorem linear_map.copair_apply
modified theorem linear_map.copair_inl
modified theorem linear_map.copair_inl_inr
modified theorem linear_map.copair_inr
modified theorem linear_map.disjoint_ker'
modified theorem linear_map.disjoint_ker
modified def linear_map.fst
modified theorem linear_map.fst_apply
modified theorem linear_map.fst_eq_copair
modified theorem linear_map.fst_pair
modified theorem linear_map.id_comp
modified def linear_map.inl
modified theorem linear_map.inl_apply
modified theorem linear_map.inl_eq_pair
modified def linear_map.inr
modified theorem linear_map.inr_apply
modified theorem linear_map.inr_eq_pair
modified def linear_map.inverse
modified def linear_map.ker
modified theorem linear_map.ker_comp
modified theorem linear_map.ker_eq_bot
modified theorem linear_map.ker_eq_top
modified theorem linear_map.ker_id
modified theorem linear_map.ker_le_ker_comp
modified theorem linear_map.ker_zero
modified theorem linear_map.le_ker_iff_map
modified theorem linear_map.map_cod_restrict
modified theorem linear_map.map_comap_eq
modified theorem linear_map.map_copair_prod
modified theorem linear_map.map_injective
modified theorem linear_map.map_le_map_iff
modified theorem linear_map.mem_ker
modified theorem linear_map.mem_range
modified theorem linear_map.mul_app
modified theorem linear_map.one_app
modified def linear_map.pair
modified theorem linear_map.pair_apply
modified theorem linear_map.pair_fst_snd
modified def linear_map.range
modified theorem linear_map.range_coe
modified theorem linear_map.range_comp
modified theorem linear_map.range_eq_top
modified theorem linear_map.range_id
modified def linear_map.smul_right
modified theorem linear_map.smul_right_apply
modified def linear_map.snd
modified theorem linear_map.snd_apply
modified theorem linear_map.snd_eq_copair
modified theorem linear_map.snd_pair
modified theorem linear_map.sub_mem_ker_iff
modified theorem linear_map.sum_apply
modified theorem linear_map.zero_apply
modified def submodule.comap
modified theorem submodule.comap_bot
modified theorem submodule.comap_coe
modified theorem submodule.comap_comp
modified theorem submodule.comap_fst
modified theorem submodule.comap_liftq
modified theorem submodule.comap_mono
modified theorem submodule.comap_snd
modified theorem submodule.comap_top
modified theorem submodule.ker_inl
modified theorem submodule.ker_inr
modified theorem submodule.ker_liftq
modified theorem submodule.ker_liftq_eq_bot
modified theorem submodule.le_comap_map
modified def submodule.liftq
modified theorem submodule.liftq_apply
modified theorem submodule.liftq_mkq
modified def submodule.map
modified theorem submodule.map_bot
modified theorem submodule.map_coe
modified theorem submodule.map_comap_le
modified theorem submodule.map_comp
modified theorem submodule.map_inl
modified theorem submodule.map_inr
added theorem submodule.map_liftq
modified theorem submodule.map_mono
modified theorem submodule.map_top
modified def submodule.mapq
modified theorem submodule.mapq_apply
modified theorem submodule.mapq_mkq
modified theorem submodule.mem_comap
modified theorem submodule.mem_map
modified theorem submodule.mem_map_of_mem
modified theorem submodule.mem_span
modified theorem submodule.mem_span_insert'
modified theorem submodule.mem_span_insert
modified def submodule.mkq
modified def submodule.of_le
modified theorem submodule.prod_comap_inl
modified theorem submodule.prod_comap_inr
modified theorem submodule.prod_map_fst
modified theorem submodule.prod_map_snd
modified theorem submodule.range_fst
added theorem submodule.range_liftq
modified theorem submodule.range_snd
modified theorem submodule.span_Union
modified theorem submodule.span_empty
modified theorem submodule.span_eq
modified theorem submodule.span_eq_bot
modified theorem submodule.span_eq_of_le
modified theorem submodule.span_image
modified theorem submodule.span_induction
modified theorem submodule.span_le
modified theorem submodule.span_mono
modified theorem submodule.span_span
modified theorem submodule.span_union
modified theorem submodule.subset_span
modified theorem constr_add
modified theorem constr_basis
modified theorem constr_congr
modified theorem constr_eq
modified theorem constr_neg
modified theorem constr_range
modified theorem constr_self
modified theorem constr_sub
modified theorem constr_zero
modified theorem exists_is_basis
modified theorem exists_linear_independent
modified theorem exists_subset_is_basis
modified theorem is_basis.ext
modified theorem is_basis.mem_span
modified theorem is_basis.repr_range
modified theorem is_basis.repr_supported
modified theorem is_basis.total_comp_repr
modified theorem is_basis.total_repr
modified def is_basis
modified theorem is_basis_empty
modified theorem is_basis_empty_bot
modified theorem is_basis_injective
modified theorem is_basis_span
modified theorem linear_equiv.is_basis
modified theorem linear_independent.image
modified theorem linear_independent.insert
modified theorem linear_independent.mono
modified theorem linear_independent.of_image
modified theorem linear_independent.repr_eq
modified theorem linear_independent.unique
modified theorem linear_independent_empty
modified theorem linear_independent_iff
modified theorem mem_span_insert_exchange
modified def module_equiv_lc
modified theorem dim_eq_injective
modified theorem dim_eq_surjective
modified theorem dim_le_injective
modified theorem dim_le_surjective
modified theorem dim_range_add_dim_ker
modified theorem dim_range_le
modified theorem dim_range_of_surjective
modified theorem dim_span
modified theorem is_basis.le_span
modified theorem is_basis.mk_eq_dim
modified theorem linear_equiv.dim_eq
modified theorem mk_eq_mk_of_basis
modified def rank
modified theorem rank_add_le
modified theorem rank_comp_le1
modified theorem rank_comp_le2
modified theorem rank_le_domain
modified theorem rank_le_range
modified theorem lc.map_id
modified theorem lc.map_total
modified theorem lc.range_restrict_dom
modified def lc.restrict_dom
modified theorem lc.supported_empty
modified theorem lc.supported_univ
modified def lc.total_on
modified theorem lc.total_on_range
modified theorem lc.total_range
modified theorem linear_eq_on
modified theorem mem_span_iff_lc
modified theorem span_eq_map_lc
modified def linear_map.compl₂
modified theorem linear_map.compl₂_apply
modified theorem linear_map.compr₂_apply
modified theorem linear_map.ext₂
modified theorem linear_map.flip_inj
modified def linear_map.lcomp
modified theorem linear_map.lcomp_apply
modified def linear_map.lflip
modified def linear_map.llcomp
modified theorem linear_map.llcomp_apply
modified theorem linear_map.map_smul₂
modified theorem tensor_product.add_tmul
modified def tensor_product.congr
modified def tensor_product.curry
modified theorem tensor_product.curry_apply
modified theorem tensor_product.ext
modified def tensor_product.lcurry
modified theorem tensor_product.lcurry_apply
modified theorem tensor_product.lift.unique
modified def tensor_product.map
modified theorem tensor_product.map_tmul
modified theorem tensor_product.neg_tmul
modified theorem tensor_product.smul_tmul
modified def tensor_product.tmul
modified theorem tensor_product.tmul_add
modified theorem tensor_product.tmul_neg
modified theorem tensor_product.tmul_smul
modified theorem tensor_product.tmul_zero
modified theorem tensor_product.zero_tmul