Theorems · Theorem · algebraic topology
SSet.stdSimplex.monotone_apply
∀ {n i : ℕ} (x : (SSet.stdSimplex.obj { len := n }).obj (Opposite.op { len := i })), Monotone fun j => x j- Cited by
- 4 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- Monotonestatement · cited by 1,397
- SSetstatement · cited by 1,283
- SSet.stdSimplexstatement and proof · cited by 499
- SimplexCategory.Hom.toOrderHomproof · cited by 111
- OrderHom.monotoneproof · cited by 70
- SSet.stdSimplex.objEquivproof · cited by 59
Cited by4
Results whose statement or proof uses this declaration.
- SSet.stdSimplex.mem_nonDegenerate_iff_monoproof · cited by 3
- SSet.prodStdSimplex.pairingCore.IsIndex.succ_le_simplex_fst_iffproof · cited by 2
- SSet.prodStdSimplex.pairingCore.simplex_fst_le_castSucc_iffproof · cited by 1
- SSet.prodStdSimplex.pairingCore.IsType₂.strictMono_φproof · cited by 1