Theorems · Theorem · convex and discrete geometry
stdSimplex.vertex_injective
∀ {S : Type u_1} [inst : Semiring S] [inst_1 : PartialOrder S] {X : Type u_2} [inst_2 : Fintype X]
[inst_3 : IsOrderedRing S] [Nontrivial S] [inst_5 : DecidableEq X], Function.Injective stdSimplex.vertex- Defined in
- Mathlib.Analysis.Convex.StdSimplex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- Nontrivialstatement and proof · cited by 2,416
- IsOrderedRingstatement and proof · cited by 777
- DFunLike.congr_funproof · cited by 288
- Pi.single_eq_sameproof · cited by 144
- Pi.single_eq_of_neproof · cited by 116
- stdSimplexstatement · cited by 76
- stdSimplex.vertexstatement and proof · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.