Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Limits.WidePushoutShape.Hom.casesOn

{J : Type w} →
  {motive : (a a_1 : CategoryTheory.Limits.WidePushoutShape J) → a.Hom a_1 → Sort u} →
    {a a_1 : CategoryTheory.Limits.WidePushoutShape J} →
      (t : a.Hom a_1) →
        ((X : CategoryTheory.Limits.WidePushoutShape J) →
            motive X X (CategoryTheory.Limits.WidePushoutShape.Hom.id X)) →
          ((j : J) → motive none (some j) (CategoryTheory.Limits.WidePushoutShape.Hom.init j)) → motive a a_1 t
Defined in
Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.Limits.WidePushoutShape.wideSpan · cited by 8WidePushoutShape.wideSpanCategoryTheory.IsPushout.isVanKampen_iff · cited by 2IsPushout.isVanKampen_iffCategoryTheory.Limits.WidePushoutShape.Hom.noConfusionType · cited by 0Hom.noConfusionTypeCategoryTheory.Limits.WidePushoutShape.Hom.ctorElim · cited by 0Hom.ctorElimCategoryTheory.Limits.WidePushoutShape.Hom.ctorIdx · cited by 0Hom.ctorIdxCategoryTheory.Limits.WidePushoutShape.Hom.noConfusion · cited by 0Hom.noConfusionCategoryTheory.Limits.WidePushoutShape.wideSpan_map · cited by 0WidePushoutShape.wideSpan…CategoryTheory.Limits.WidePushoutShape · cited by 47Limits.WidePushoutShapeCategoryTheory.Limits.WidePushoutShape.Hom · cited by 2WidePushoutShape.HomHom.casesOnCITED BYCITES

Cites2

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

Cited by7

Results whose statement or proof uses this declaration.