Theorems · Theorem · category theory
SimplexCategory.Truncated.initial_incl
∀ {n m : ℕ} [NeZero n] (hm : n ≤ m), (SimplexCategory.Truncated.incl n m ⋯).InitialFor 0 < n ≤ m, the inclusion functor from the n-truncated simplex category to the
m-truncated simplex category is initial.
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- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.compproof · cited by 6,529
- SimplexCategorystatement · cited by 2,204
- CategoryTheory.Iso.symmproof · cited by 993
- SimplexCategory.lenstatement · cited by 542
- SimplexCategory.Truncatedstatement · cited by 236
- CategoryTheory.Functor.Initialstatement and proof · cited by 84
- SimplexCategory.Truncated.inclusionproof · cited by 22
- SimplexCategory.Truncated.inclstatement and proof · cited by 11
- CategoryTheory.Functor.initial_of_natIsoproof · cited by 6
- CategoryTheory.Functor.initial_of_comp_full_faithfulproof · cited by 5
- SimplexCategory.Truncated.inclCompInclusionproof · cited by 1
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