Theorems · Theorem · category theory

CategoryTheory.IsFiltered.toSup.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.IsFiltered C] (O : Finset C)
  (H : Finset ((X : C) ×' (Y : C) ×' (_ : X ∈ O) ×' (_ : Y ∈ O) ×' (X ⟶ Y))) {X : C} (m : X ∈ O),
  CategoryTheory.IsFiltered.toSup O H m = CategoryTheory.IsFiltered.toSup O H m

Defined in: Mathlib.CategoryTheory.Limits.ConcreteCategory.WithAlgebraicStructures
Cited by: 0 results in Mathlib
Foundations: Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.IsFiltered

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
Finsetstatement and proof · cited by 13,712
CategoryTheory.IsFilteredstatement and proof · cited by 210
CategoryTheory.IsFiltered.supstatement · cited by 4
CategoryTheory.IsFiltered.toSupstatement and proof · cited by 4

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