fix(hott/algebra/homomorphism): fix typos

This commit is contained in:
Jeremy Avigad 2017-06-30 16:21:23 +01:00 committed by Floris van Doorn
parent 39a8c7fef4
commit 519dcee739

View file

@ -103,7 +103,7 @@ section group_A_B
have f (a⁻¹) * f a = 1, by rewrite [-respect_mul f, mul.left_inv, respect_one f],
eq_inv_of_mul_eq_one this
definition is_embedding_of_is_mul_hom [group B] (f : A → B) [is_mul_hom f]
definition is_embedding_of_is_mul_hom (f : A → B) [is_mul_hom f]
(H : ∀ x, f x = 1 → x = 1) :
is_embedding f :=
is_embedding_of_is_injective
@ -113,7 +113,7 @@ section group_A_B
have x₁ * x₂⁻¹ = 1, from H _ this,
eq_of_mul_inv_eq_one this)
definition eq_one_of_is_mul_hom [add_group B] {f : A → B} [is_mul_hom f]
definition eq_one_of_is_mul_hom {f : A → B} [is_mul_hom f]
[is_embedding f] {a : A} (fa1 : f a = 1) :
a = 1 :=
have f a = f 1, by rewrite [fa1, respect_one f],