Theorems · Theorem · convex and discrete geometry

StrictConvexOn.add_const

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid E]
  [inst_3 : SMul 𝕜 E] {s : Set E} {γ : Type u_7} {f : E → γ} [inst_4 : AddCommMonoid γ] [inst_5 : PartialOrder γ]
  [IsOrderedCancelAddMonoid γ] [inst_7 : Module 𝕜 γ],
  StrictConvexOn 𝕜 s f → ∀ (b : γ), StrictConvexOn 𝕜 s (f + fun x => b)

Defined in

Mathlib.Analysis.Convex.Function

Cited by

0 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderAddCommMonoidSMulAddCommMonoidPartialOrderIsOrderedCancelAddMonoidModule