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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 → α

the degree of an object

Defined in
Mathlib.AlgebraicTopology.Reedy.Basic
Cited by
19 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicativeCategoryTheory.MorphismProperty.IsMultiplicativeLinearOrderOrderBotSuccOrderWellFoundedLT

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HomotopicalAlgebra.ReedyStructure.degHom · cited by 13ReedyStructure.degHomHomotopicalAlgebra.ReedyStructure.degHom_le · cited by 5ReedyStructure.degHom_leHomotopicalAlgebra.ReedyStructure.exists_fac · cited by 5ReedyStructure.exists_facHomotopicalAlgebra.ReedyStructure.degHom_eq · cited by 3ReedyStructure.degHom_eqHomotopicalAlgebra.ReedyStructure.degHom_id · cited by 2ReedyStructure.degHom_idHomotopicalAlgebra.ReedyStructure.lt₁ · cited by 2ReedyStructure.lt₁HomotopicalAlgebra.ReedyStructure.lt₂ · cited by 2ReedyStructure.lt₂HomotopicalAlgebra.ReedyStructure.op · cited by 2ReedyStructure.opHomotopicalAlgebra.ReedyStructure.prop₁_of_degHom_eq_deg_right · cited by 2ReedyStructure.prop₁_of_d…HomotopicalAlgebra.ReedyStructure.degHom_comp_le_right · cited by 1ReedyStructure.degHom_com…HomotopicalAlgebra.ReedyStructure.degHom_le_deg_left · cited by 1ReedyStructure.degHom_le_…HomotopicalAlgebra.ReedyStructure.degHom_le_deg_right · cited by 1ReedyStructure.degHom_le_…HomotopicalAlgebra.ReedyStructure.identities_of_prop₁_of_eq · cited by 1ReedyStructure.identities…HomotopicalAlgebra.ReedyStructure.identities_of_prop₂_of_eq · cited by 1ReedyStructure.identities…HomotopicalAlgebra.ReedyStructure.le₁ · cited by 1ReedyStructure.le₁CategoryTheory.Category · cited by 32673CategoryTheory.CategoryLinearOrder · cited by 8572LinearOrderCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…OrderBot · cited by 1055OrderBotSuccOrder · cited by 574SuccOrderWellFoundedLT · cited by 491WellFoundedLTCategoryTheory.MorphismProperty.IsMultiplicative · cited by 332MorphismProperty.IsMultip…HomotopicalAlgebra.ReedyStructure · cited by 30HomotopicalAlgebra.ReedyS…ReedyStructure.degCITED BYCITES

Cites8

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Cited by21

Results whose statement or proof uses this declaration.