Theorems · Theorem · algebraic topology
SSet.finite_of_isPullback
∀ {X₁ X₂ X₃ X₄ : SSet} {t : X₁ ⟶ X₂} {l : X₁ ⟶ X₃} {r : X₂ ⟶ X₄} {b : X₃ ⟶ X₄},
CategoryTheory.IsPullback t l r b → ∀ [X₂.Finite] [X₃.Finite], X₁.Finite- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.FiniteSSet.Finite
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- CategoryTheory.Monoproof · cited by 893
- CategoryTheory.IsPullbackstatement and proof · cited by 320
- CategoryTheory.SemiCartesianMonoidalCategory.fstproof · cited by 184
- CategoryTheory.SemiCartesianMonoidalCategory.sndproof · cited by 181
- CategoryTheory.CartesianMonoidalCategory.liftproof · cited by 160
- CategoryTheory.eq_whiskerproof · cited by 66
- CategoryTheory.CartesianMonoidalCategory.lift_sndproof · cited by 37
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