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authorJacques Comeaux <jacquesrcomeaux@protonmail.com>2024-04-25 17:38:21 -0500
committerJacques Comeaux <jacquesrcomeaux@protonmail.com>2024-04-25 17:38:21 -0500
commitc3982b7fd9561fec34e60b28c0f20f03e9926f81 (patch)
tree36f1c7ff1f01779cef94ce267c80413b40c20ac1 /Coeq.agda
parent7de733feae4f391cc4738e23906e7d1f48bd2e0d (diff)
Define coequalizers and pushouts in Nat
Diffstat (limited to 'Coeq.agda')
-rw-r--r--Coeq.agda4
1 files changed, 2 insertions, 2 deletions
diff --git a/Coeq.agda b/Coeq.agda
index ad21587..1414dad 100644
--- a/Coeq.agda
+++ b/Coeq.agda
@@ -28,7 +28,7 @@ open Category Nat
open Coproduct (IsCoproduct⇒Coproduct coprod)
open HomReasoning
-iterated-coequalizer
+coequalizer-on-coproduct
: {A B A+B C Q₁ Q₂ : Obj}
→ (i₁ : A ⇒ A+B)
→ (i₂ : B ⇒ A+B)
@@ -39,7 +39,7 @@ iterated-coequalizer
→ IsCoequalizer (f ∘ i₁) (g ∘ i₁) q₁
→ IsCoequalizer (q₁ ∘ f ∘ i₂) (q₁ ∘ g ∘ i₂) q₂
→ IsCoequalizer f g (q₂ ∘ q₁)
-iterated-coequalizer {C = C} {Q₁} {Q₂} i₁ i₂ f g q₁ q₂ coprod coeq₁ coeq₂ = record
+coequalizer-on-coproduct {C = C} {Q₁} {Q₂} i₁ i₂ f g q₁ q₂ coprod coeq₁ coeq₂ = record
{ equality = ≈-i₁-i₂
(q₂ ∘ q₁ ∘ f)
(q₂ ∘ q₁ ∘ g)