Theorems · Definition · category theory

CategoryTheory.Congruence.casesOn

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {r : HomRel C} →
      {motive : CategoryTheory.Congruence r → Sort u} →
        (t : CategoryTheory.Congruence r) →
          ([toIsStableUnderPrecomp : CategoryTheory.HomRel.IsStableUnderPrecomp r] →
              [toIsStableUnderPostcomp : CategoryTheory.HomRel.IsStableUnderPostcomp r] →
                (equivalence : ∀ {X Y : C}, Equivalence r) → motive ⋯) →
            motive t

Defined in

Mathlib.CategoryTheory.Quotient

Cited by

0 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CategoryTheory.Category