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Theorems · Definition · category theory

FreeSimplexQuiver.Hom.recOn

{motive : (a a_1 : FreeSimplexQuiver) → a.Hom a_1 → Sort u} →
  {a a_1 : FreeSimplexQuiver} →
    (t : a.Hom a_1) →
      ({n : ℕ} →
          (i : Fin (n + 2)) →
            motive (FreeSimplexQuiver.mk n) (FreeSimplexQuiver.mk (n + 1)) (FreeSimplexQuiver.Hom.δ i)) →
        ({n : ℕ} →
            (i : Fin (n + 1)) →
              motive (FreeSimplexQuiver.mk (n + 1)) (FreeSimplexQuiver.mk n) (FreeSimplexQuiver.Hom.σ i)) →
          motive a a_1 t
Defined in
Mathlib.AlgebraicTopology.SimplexCategory.GeneratorsRelations.Basic
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Foundations
Depth 10 from the axioms · uses no axioms
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FreeSimplexQuiver.mk · cited by 7FreeSimplexQuiver.mkFreeSimplexQuiver.Hom · cited by 6FreeSimplexQuiver.HomFreeSimplexQuiver · cited by 2FreeSimplexQuiverHom.recOnCITED BYCITES

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