Theorems · Theorem · algebraic topology
SSet.stdSimplex.face_inter_face
∀ {n : ℕ} (S₁ S₂ : Finset (Fin (n + 1))),
SSet.stdSimplex.face S₁ ⊓ SSet.stdSimplex.face S₂ = SSet.stdSimplex.face (S₁ ⊓ S₂)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Finsetstatement and proof · cited by 13,712
- Oppositestatement and proof · cited by 8,081
- Set.ofPredproof · cited by 6,101
- Set.extproof · cited by 2,266
- Opposite.unopproof · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement · cited by 1,283
- SimplexCategory.lenproof · cited by 542
- SSet.stdSimplexstatement and proof · cited by 499
- SSet.Subcomplexstatement · cited by 461
Cited by4
Results whose statement or proof uses this declaration.
- SSet.horn.multicoequalizerDiagramproof · cited by 16
- SSet.horn₂₁.sqproof · cited by 1
- SSet.horn₂₂.sqproof · cited by 1
- SSet.horn₂₀.sqproof · cited by 1