Mathlib Map

Theorems · Theorem · convex and discrete geometry

Prod.isAffineMap_snd

∀ {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],
  Convexity.IsAffineMap R Prod.snd
Defined in
Mathlib.Geometry.Convex.ConvexSpace.Prod
Cited by
4 results in Mathlib
Foundations
Depth 85 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.snd_convexCombPair · cited by 1Prod.snd_convexCombPairConvexity.IsStarConvexSet.sub · cited by 0IsStarConvexSet.subConvexity.IsStarConvexSet.add · cited by 0IsStarConvexSet.addProd.snd_iConvexComb · cited by 0Prod.snd_iConvexCombSemiring · cited by 13802SemiringPartialOrder · cited by 6410PartialOrderIsStrictOrderedRing · cited by 2490IsStrictOrderedRingConvexity.ConvexSpace · cited by 176Convexity.ConvexSpaceConvexity.IsAffineMap · cited by 33Convexity.IsAffineMapProd.snd_sConvexComb · cited by 1Prod.snd_sConvexCombProd.isAffineMap_sndCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.