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Theorems · Definition · category theory

CategoryTheory.IsOverTower

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (X Y S : C) →
      [CategoryTheory.OverClass X S] → [CategoryTheory.OverClass Y S] → [CategoryTheory.OverClass X Y] → Prop

IsOverTower X Y S is the typeclass asserting that the structure morphisms X ↘ Y, Y ↘ S, and X ↘ S commute.

Defined in
Mathlib.CategoryTheory.Comma.Over.OverClass
Cited by
1 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.OverClassCategoryTheory.OverClassCategoryTheory.OverClass
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Around this declaration

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

CategoryTheory.homIsOver_of_isOverTower · cited by 0CategoryTheory.homIsOver_…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.over · cited by 76CategoryTheory.overCategoryTheory.OverClass · cited by 68CategoryTheory.OverClassCategoryTheory.HomIsOver · cited by 11CategoryTheory.HomIsOverCategoryTheory.IsOverTowerCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.