Theorems · Theorem · convex and discrete geometry

ProperCone.ext

∀ {R : Type u_2} {E : Type u_3} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
  [inst_3 : AddCommMonoid E] [inst_4 : TopologicalSpace E] [inst_5 : Module R E] {C₁ C₂ : ProperCone R E},
  (∀ (x : E), x ∈ C₁ ↔ x ∈ C₂) → C₁ = C₂

Defined in

Mathlib.Analysis.Convex.Cone.Basic

Cited by

12 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommMonoidTopologicalSpaceModule