Theorems · Theorem · convex and discrete geometry

ConvexBody.smul_le_of_le

∀ {V : Type u_1} [inst : TopologicalSpace V] [inst_1 : AddCommGroup V] [inst_2 : Module ℝ V]
  [inst_3 : ContinuousSMul ℝ V] (K : ConvexBody V), 0 ∈ K → ∀ {a b : NNReal}, a ≤ b → a • K ≤ b • K

Defined in

Mathlib.Analysis.Convex.Body

Cited by

1 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddCommGroupModuleContinuousSMul