Theorems · Theorem · category theory

CategoryTheory.Limits.PullbackCone.ofCone_pt

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
  {F : CategoryTheory.Functor CategoryTheory.Limits.WalkingCospan C} (t : CategoryTheory.Limits.Cone F),
  (CategoryTheory.Limits.PullbackCone.ofCone t).pt = t.pt

Defined in: Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackCone
Cited by: 0 results in Mathlib
Foundations: Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Functor.mapstatement · cited by 8,698
CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
CategoryTheory.Limits.Cone.ptstatement and proof · cited by 1,298
CategoryTheory.Limits.Conestatement and proof · cited by 710
CategoryTheory.Limits.WalkingCospanstatement and proof · cited by 496
CategoryTheory.Limits.cospanstatement · cited by 467
CategoryTheory.Limits.WalkingCospan.leftstatement · cited by 190
CategoryTheory.Limits.WalkingCospan.rightstatement · cited by 182
CategoryTheory.Limits.WalkingCospan.onestatement · cited by 31

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