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2018-08-10 09:44
e1312b4d
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feat(group_theory/perm): signatures of permutations (
#231
)
Estimated changes
Modified
algebra/big_operators.lean
modified
theorem
is_group_anti_hom.prod
modified
theorem
is_group_hom.prod
Modified
algebra/group.lean
added
def
is_conj
added
theorem
is_conj_iff_eq
added
theorem
is_conj_refl
added
theorem
is_conj_symm
added
theorem
is_conj_trans
Modified
data/equiv/basic.lean
modified
theorem
equiv.inverse_trans_apply
added
theorem
equiv.refl_trans
added
theorem
equiv.swap_inv
added
theorem
equiv.symm_trans
added
theorem
equiv.symm_trans_swap_trans
added
theorem
equiv.trans_refl
added
theorem
equiv.trans_symm
Modified
data/fin.lean
Modified
data/finset.lean
added
def
finset.attach_fin
added
theorem
finset.card_attach_fin
added
theorem
finset.eq_empty_iff_forall_not_mem
added
theorem
finset.mem_attach_fin
added
theorem
finset.mem_sort
Modified
data/fintype.lean
added
theorem
fintype.card_units_int
Modified
data/multiset.lean
added
theorem
multiset.mem_sort
Created
group_theory/perm.lean
added
theorem
equiv.perm.eq_sign_of_surjective_hom
added
def
equiv.perm.fin_pairs_lt
added
theorem
equiv.perm.is_conj_swap
added
def
equiv.perm.is_swap
added
theorem
equiv.perm.mem_fin_pairs_lt
added
def
equiv.perm.sign
added
def
equiv.perm.sign_aux2
added
def
equiv.perm.sign_aux3
added
theorem
equiv.perm.sign_aux3_mul_and_swap
added
def
equiv.perm.sign_aux
added
theorem
equiv.perm.sign_aux_eq_sign_aux2
added
theorem
equiv.perm.sign_aux_inv
added
theorem
equiv.perm.sign_aux_mul
added
theorem
equiv.perm.sign_aux_one
added
theorem
equiv.perm.sign_aux_swap
added
def
equiv.perm.sign_bij_aux
added
theorem
equiv.perm.sign_bij_aux_inj
added
theorem
equiv.perm.sign_bij_aux_mem
added
theorem
equiv.perm.sign_bij_aux_surj
added
theorem
equiv.perm.sign_eq_of_is_swap
added
theorem
equiv.perm.sign_swap
added
theorem
equiv.perm.support_swap_mul
added
def
equiv.perm.swap_factors
added
def
equiv.perm.swap_factors_aux
added
theorem
equiv.perm.swap_mul_swap_mul_swap
added
def
equiv.perm.trunc_swap_factors