Theorems · Theorem · category theory

CategoryTheory.homIsOver_of_isOverTower

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y) (S S' : C)
  [inst_1 : CategoryTheory.OverClass X S] [inst_2 : CategoryTheory.OverClass X S']
  [inst_3 : CategoryTheory.OverClass Y S] [inst_4 : CategoryTheory.OverClass Y S']
  [inst_5 : CategoryTheory.OverClass S S'] [CategoryTheory.IsOverTower X S S'] [CategoryTheory.IsOverTower Y S S']
  [CategoryTheory.HomIsOver f S], CategoryTheory.HomIsOver f S'

Defined in: Mathlib.CategoryTheory.Comma.Over.OverClass
Cited by: 0 results in Mathlib
Foundations: Depth 13 from the axioms · uses Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.OverClass CategoryTheory.OverClass CategoryTheory.OverClass CategoryTheory.OverClass CategoryTheory.OverClass CategoryTheory.IsOverTower CategoryTheory.IsOverTower CategoryTheory.HomIsOver

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.CategoryStruct.compproof · cited by 17,999
CategoryTheory.overproof · cited by 76
CategoryTheory.OverClassstatement and proof · cited by 68
CategoryTheory.comp_overproof · cited by 14
CategoryTheory.HomIsOverstatement and proof · cited by 11
CategoryTheory.comp_over_assocproof · cited by 2
CategoryTheory.IsOverTowerstatement and proof · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.