Theorems · Theorem · category theory

CategoryTheory.Dial.Hom.ext_iff

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.Limits.HasFiniteProducts C}
  {inst_2 : CategoryTheory.Limits.HasPullbacks C} {X Y : CategoryTheory.Dial C} {x y : X.Hom Y},
  x = y ↔ x.f = y.f ∧ x.F = y.F

Defined in: Mathlib.CategoryTheory.Dialectica.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Discretestatement · cited by 2,447
CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
CategoryTheory.Limits.pairstatement · cited by 536
CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
CategoryTheory.Limits.prodstatement · cited by 364
CategoryTheory.Limits.HasFiniteProductsstatement and proof · cited by 142
CategoryTheory.Dialstatement and proof · cited by 80
CategoryTheory.Dial.srcstatement · cited by 71
CategoryTheory.Dial.tgtstatement · cited by 51
CategoryTheory.Dial.Hom.fstatement and proof · cited by 35

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