Theorems · Theorem · category theory
HomotopicalAlgebra.ReedyStructure.degHom_comp_le_left
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W₁ W₂ : CategoryTheory.MorphismProperty C}
[inst_1 : W₁.IsMultiplicative] [inst_2 : W₂.IsMultiplicative] {α : Type u_2} [inst_3 : LinearOrder α]
[inst_4 : OrderBot α] [inst_5 : SuccOrder α] [inst_6 : WellFoundedLT α]
(r : HomotopicalAlgebra.ReedyStructure W₁ W₂ α) {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z),
r.degHom (CategoryTheory.CategoryStruct.comp f g) ≤ r.degHom f- Defined in
- Mathlib.AlgebraicTopology.Reedy.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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.CategoryStruct.compstatement and proof · cited by 17,999
- LinearOrderstatement and proof · cited by 8,572
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- OrderBotstatement and proof · cited by 1,055
- SuccOrderstatement and proof · cited by 574
- WellFoundedLTstatement and proof · cited by 491
- CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
- HomotopicalAlgebra.ReedyStructurestatement and proof · cited by 30
- HomotopicalAlgebra.ReedyStructure.degproof · cited by 19
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