Theorems · Theorem · convex and discrete geometry
PointedCone.toConvexCone_map
∀ {R : Type u_1} {E : Type u_2} {F : Type u_3} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
[inst_3 : AddCommMonoid E] [inst_4 : Module R E] [inst_5 : AddCommMonoid F] [inst_6 : Module R F]
(C : PointedCone R E) (f : E →ₗ[R] F), ↑(PointedCone.map f C) = ConvexCone.map f ↑C- Defined in
- Mathlib.Geometry.Convex.Cone.Pointed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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- 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
- LinearMapstatement and proof · cited by 10,215
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedRingstatement and proof · cited by 777
- PointedConestatement and proof · cited by 151
- ConvexConestatement · cited by 103
- PointedCone.mapstatement · cited by 19
- PointedCone.toConvexConestatement · cited by 10
- ConvexCone.mapstatement · cited by 5
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