Theorems · Theorem · convex and discrete geometry
ProperCone.toPointedCone_injective
∀ {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],
Function.Injective ProperCone.toPointedCone- Defined in
- Mathlib.Analysis.Convex.Cone.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedRingstatement and proof · cited by 777
- PointedConestatement · cited by 151
- ProperConestatement · cited by 57
- ProperCone.toPointedConestatement · cited by 10
- ClosedSubmodule.toSubmodule_injectiveproof · cited by 1
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