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Theorems · Theorem · category theory

CategoryTheory.InducedWideCategory.congr_simp

∀ {C : Type u₁} (D : Type u₂) [inst : CategoryTheory.Category.{v₁, u₂} D] (_F _F_1 : C → D),
  _F = _F_1 →
    ∀ (_P _P_1 : CategoryTheory.MorphismProperty D) (e__P : _P = _P_1) [inst_1 : _P.IsMultiplicative],
      CategoryTheory.InducedWideCategory D _F _P = CategoryTheory.InducedWideCategory D _F_1 _P_1
Defined in
Mathlib.CategoryTheory.Widesubcategory
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Foundations
Depth 5 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicative
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.IsMultiplicative · cited by 332MorphismProperty.IsMultip…CategoryTheory.InducedWideCategory · cited by 12CategoryTheory.InducedWid…InducedWideCategory.congr_simpCITED BYCITES

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