Theorems · Theorem · category theory
HomotopicalAlgebra.ReedyStructure.degHom_id
∀ {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 : C), r.degHom (CategoryTheory.CategoryStruct.id X) = r.deg X- Defined in
- Mathlib.AlgebraicTopology.Reedy.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- LinearOrderstatement and proof · cited by 8,572
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Category.comp_idproof · cited by 2,119
- 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
- CategoryTheory.MorphismProperty.id_memproof · cited by 23
- HomotopicalAlgebra.ReedyStructure.degstatement · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.ReedyStructure.prop₁_of_isoproof · cited by 2
- HomotopicalAlgebra.ReedyStructure.deg_eq_of_isoproof · cited by 0