Theorems · Theorem · convex and discrete geometry

Prod.fst_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).1 = Convexity.iConvexComb w Prod.fst

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