Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.mem_map
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W : CategoryTheory.MorphismProperty C} {J : Type w}
[inst_1 : LinearOrder J] [inst_2 : SuccOrder J] [inst_3 : OrderBot J] [inst_4 : WellFoundedLT J]
[W.IsStableUnderTransfiniteComposition] {X Y : C} {f : X ⟶ Y} (h : W.TransfiniteCompositionOfShape J f) {i j : J}
(φ : i ⟶ j), W (h.F.map φ)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- LinearOrderstatement and proof · cited by 8,572
- CategoryTheory.NatTrans.appproof · cited by 7,406
- Set.Elemproof · cited by 7,166
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- Set.Iciproof · cited by 1,070
- OrderBotstatement and proof · cited by 1,055
- SuccOrderstatement and proof · cited by 574
- WellFoundedLTstatement and proof · cited by 491
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