Theorems · Theorem · convex and discrete geometry

Convexity.isConvexSet_coe

∀ {F : Type u_1} {R : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : PartialOrder R]
  [inst_2 : IsStrictOrderedRing R] [inst_3 : AddCommMonoid M] [inst_4 : Module R M] [inst_5 : SetLike F M]
  [AddSubmonoidClass F M] [SMulMemClass F R M] [inst_8 : Convexity.ConvexSpace R M] [Convexity.IsModuleConvexSpace R M]
  (S : F), Convexity.IsConvexSet R ↑S

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Module

Cited by

2 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsStrictOrderedRingAddCommMonoidModuleSetLikeAddSubmonoidClassSMulMemClassConvexity.ConvexSpaceConvexity.IsModuleConvexSpace