Theorems · Definition · category theory
HomotopicalAlgebra.ReedyStructure.deg
{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] → HomotopicalAlgebra.ReedyStructure W₁ W₂ α → C → αthe degree of an object
- Defined in
- Mathlib.AlgebraicTopology.Reedy.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.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
Cited by21
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.ReedyStructure.degHomproof · cited by 13
- HomotopicalAlgebra.ReedyStructure.degHom_lestatement and proof · cited by 5
- HomotopicalAlgebra.ReedyStructure.exists_facstatement · cited by 5
- HomotopicalAlgebra.ReedyStructure.degHom_eqstatement and proof · cited by 3
- HomotopicalAlgebra.ReedyStructure.degHom_idstatement · cited by 2
- HomotopicalAlgebra.ReedyStructure.lt₁statement · cited by 2
- HomotopicalAlgebra.ReedyStructure.lt₂statement · cited by 2
- HomotopicalAlgebra.ReedyStructure.opproof · cited by 2
- HomotopicalAlgebra.ReedyStructure.prop₁_of_degHom_eq_deg_rightstatement and proof · cited by 2
- HomotopicalAlgebra.ReedyStructure.degHom_comp_le_rightproof · cited by 1
- HomotopicalAlgebra.ReedyStructure.degHom_le_deg_leftstatement and proof · cited by 1
- HomotopicalAlgebra.ReedyStructure.degHom_le_deg_rightstatement and proof · cited by 1