From 1fcb41a4e7aa2997ff03f519bfa040c77b8afabb Mon Sep 17 00:00:00 2001 From: Steve Awodey Date: Thu, 10 Nov 2016 15:40:30 -0500 Subject: [PATCH] wip quotient homomorphism --- algebra/.#exact_couple.hlean | 1 + algebra/quotient_group.hlean | 11 +++++++++++ 2 files changed, 12 insertions(+) create mode 120000 algebra/.#exact_couple.hlean diff --git a/algebra/.#exact_couple.hlean b/algebra/.#exact_couple.hlean new file mode 120000 index 0000000..c4be726 --- /dev/null +++ b/algebra/.#exact_couple.hlean @@ -0,0 +1 @@ +Steve@steveawodeysAir.wv.cc.cmu.edu.255 \ No newline at end of file diff --git a/algebra/quotient_group.hlean b/algebra/quotient_group.hlean index 9f9caba..52da343 100644 --- a/algebra/quotient_group.hlean +++ b/algebra/quotient_group.hlean @@ -220,6 +220,17 @@ namespace group {fapply is_prop.elimo} } end +definition comm_group_quotient_homomorphism (A B : CommGroup)(K : subgroup_rel A)(L : subgroup_rel B) (f : A →g B) + (p : Π(a:A), K(a) → L(f a)) : quotient_comm_group K →g quotient_comm_group L := + begin + fapply quotient_group_elim, + exact (comm_gq_map L) ∘g f, + +-- homomorphism.mk, + + + end + /- set generating normal subgroup -/ section