Theorems · Theorem · convex and discrete geometry
stdSimplex.ext
∀ {S : Type u_1} [inst : Semiring S] [inst_1 : PartialOrder S] {X : Type u_2} [inst_2 : Fintype X]
{s t : ↑(stdSimplex S X)}, ⇑s = ⇑t → s = t- Defined in
- Mathlib.Analysis.Convex.StdSimplex
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringPartialOrderFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Semiringstatement and proof · cited by 13,802
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- stdSimplexstatement and proof · cited by 76
Cited by4
Results whose statement or proof uses this declaration.
- stdSimplex.map_vertexproof · cited by 4
- stdSimplex.map_comp_applyproof · cited by 0
- stdSimplex.map_id_applyproof · cited by 0
- stdSimplex.ext_iffproof · cited by 0