Theorems · Theorem · convex and discrete geometry
PointedCone.DualFG.dual_of_finset
∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : CommRing R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
[inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : AddCommGroup N] [inst_6 : Module R N]
(p : M →ₗ[R] N →ₗ[R] R) (s : Finset M), PointedCone.DualFG p (PointedCone.dual p ↑s)The dual of a finite set is dually finitely generated.
- Defined in
- Mathlib.Geometry.Convex.Cone.DualFinite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Finsetstatement and proof · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- SetLike.coestatement and proof · cited by 8,199
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedRingstatement and proof · cited by 777
- PointedCone.dualstatement and proof · cited by 47
- PointedCone.DualFGstatement · cited by 11
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