Theorems · Theorem · convex and discrete geometry

Convexity.isAffineMap_convexCombPair

∀ {R : Type u_9} {M : Type u_10} [inst : PartialOrder R] [inst_1 : CommSemiring R] [inst_2 : IsStrictOrderedRing R]
  [inst_3 : Convexity.ConvexSpace R M] {s t : R} (hs : 0 ≤ s) (ht : 0 ≤ t) (h : s + t = 1) (m : M),
  Convexity.IsAffineMap R (Convexity.convexCombPair s t hs ht h m)

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Defs

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderCommSemiringIsStrictOrderedRingConvexity.ConvexSpace