Theorems · Theorem · convex and discrete geometry
ProperCone.coe_map
∀ {R : Type u_2} {E : Type u_3} {F : Type u_4} [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 : AddCommMonoid F]
[inst_7 : TopologicalSpace F] [inst_8 : Module R F] [inst_9 : ContinuousAdd F] [inst_10 : ContinuousConstSMul R F]
(f : E →L[R] F) (C : ProperCone R E), ↑(ProperCone.map f C) = (PointedCone.map ↑f ↑C).closure- Defined in
- Mathlib.Analysis.Convex.Cone.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- ContinuousLinearMapstatement and proof · cited by 5,352
- ContinuousConstSMulstatement and proof · cited by 832
- IsOrderedRingstatement and proof · cited by 777
- ContinuousAddstatement and proof · cited by 777
- ContinuousLinearMap.toLinearMapstatement · cited by 528
- PointedConestatement · cited by 151
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