Theorems · Definition · category theory

CategoryTheory.MorphismProperty.Respects.recOn

{C : Type u} →
  [inst : CategoryTheory.CategoryStruct.{v, u} C] →
    {P Q : CategoryTheory.MorphismProperty C} →
      {motive : P.Respects Q → Sort u_1} →
        (t : P.Respects Q) →
          ([toRespectsLeft : P.RespectsLeft Q] → [toRespectsRight : P.RespectsRight Q] → motive ⋯) → motive t

Defined in: Mathlib.CategoryTheory.MorphismProperty.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 6 from the axioms · uses no axioms
Assumes: CategoryTheory.CategoryStruct

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CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.CategoryStructstatement and proof · cited by 343
CategoryTheory.MorphismProperty.RespectsRightstatement and proof · cited by 7
CategoryTheory.MorphismProperty.RespectsLeftstatement and proof · cited by 6
CategoryTheory.MorphismProperty.Respectsstatement and proof · cited by 2

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