Mathlib Map

Theorems · Theorem · convex and discrete geometry

Prod.snd_sConvexComb

∀ {R : Type u_2} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R] {X : Type u_3}
  {Y : Type u_4} [inst_3 : Convexity.ConvexSpace R X] [inst_4 : Convexity.ConvexSpace R Y]
  (w : Convexity.StdSimplex R (X × Y)), (Convexity.sConvexComb w).2 = Convexity.iConvexComb w Prod.snd
Defined in
Mathlib.Geometry.Convex.ConvexSpace.Prod
Cited by
1 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringPartialOrderIsStrictOrderedRingConvexity.ConvexSpaceConvexity.ConvexSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Prod.isAffineMap_snd · cited by 4Prod.isAffineMap_sndSemiring · cited by 13802SemiringPartialOrder · cited by 6410PartialOrderIsStrictOrderedRing · cited by 2490IsStrictOrderedRingConvexity.ConvexSpace · cited by 176Convexity.ConvexSpaceConvexity.StdSimplex · cited by 123Convexity.StdSimplexConvexity.ConvexSpace.sConvexComb · cited by 59ConvexSpace.sConvexCombConvexity.iConvexComb · cited by 51Convexity.iConvexCombProd.snd_sConvexCombCITED BYCITES

Cites7

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Cited by1

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