Theorems · Theorem · convex and discrete geometry
stdSimplex_fin_two
∀ (𝕜 : Type u_2) [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [ZeroLEOneClass 𝕜] [IsOrderedRing 𝕜], stdSimplex 𝕜 (Fin 2) = segment 𝕜 (Pi.single 0 1) (Pi.single 1 1)
- Defined in
- Mathlib.Analysis.Convex.StdSimplex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- IsOrderedRingstatement and proof · cited by 777
- Pi.singlestatement · cited by 518
- ZeroLEOneClassstatement and proof · cited by 304
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