Theorems · Theorem · convex and discrete geometry
ProperCone.dual_univ
∀ {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 : TopologicalSpace R] [inst_4 : ClosedIciTopology R] [inst_5 : AddCommGroup M] [inst_6 : Module R M]
[inst_7 : TopologicalSpace M] [inst_8 : AddCommGroup N] [inst_9 : Module R N] [inst_10 : TopologicalSpace N]
{p : M →ₗ[R] N →ₗ[R] R} [inst_11 : p.IsContPerfPair] [IsTopologicalRing R] [inst_13 : T1Space N],
ProperCone.dual p Set.univ = ⊥- Defined in
- Mathlib.Analysis.Convex.Cone.Dual
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- PartialOrderstatement and proof · cited by 6,410
- Bot.botstatement · cited by 4,720
- Set.univstatement and proof · cited by 3,945
- le_antisymmproof · cited by 2,068
- IsOrderedRingstatement and proof · cited by 777
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