Theorems · Theorem · convex and discrete geometry

ProperCone.positive.congr_simp

∀ (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] [inst_6 : PartialOrder E]
  [inst_7 : IsOrderedAddMonoid E] [inst_8 : PosSMulMono R E] [inst_9 : OrderClosedTopology E],
  ProperCone.positive R E = ProperCone.positive R E

Defined in

Mathlib.Analysis.Convex.Cone.Dual

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommMonoidTopologicalSpaceModulePartialOrderIsOrderedAddMonoidPosSMulMonoOrderClosedTopology