Theorems · Theorem · convex and discrete geometry

PointedCone.IsFaceOf.sInf

∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] {C : PointedCone R M} (F : Set (PointedCone R M)),
  (∀ f ∈ F, f.IsFaceOf C) → (C ⊓ sInf F).IsFaceOf C

Defined in

Mathlib.Geometry.Convex.Cone.Face.Basic

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommGroupModule