Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.IsStableUnderTransfiniteComposition.shrink

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (W : CategoryTheory.MorphismProperty C)
  [W.IsStableUnderTransfiniteComposition] [UnivLE.{w, w'}], W.IsStableUnderTransfiniteComposition

Defined in: Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition
Cited by: 1 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MorphismProperty.IsStableUnderTransfiniteComposition UnivLE

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Cites10

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

CategoryTheory.Categorystatement and proof · cited by 32,673
LinearOrderproof · cited by 8,572
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
OrderBotproof · cited by 1,055
SuccOrderproof · cited by 574
WellFoundedLTproof · cited by 491
UnivLEstatement and proof · cited by 38
orderIsoShrinkproof · cited by 6
CategoryTheory.MorphismProperty.IsStableUnderTransfiniteCompositionstatement and proof · cited by 6
CategoryTheory.MorphismProperty.isStableUnderTransfiniteCompositionOfShape_iff_of_orderIsoproof · cited by 1

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.MorphismProperty.IsStableUnderTransfiniteComposition.shrink₀proof · cited by 0