Theorems · Theorem · functional analysis
StrongDual.dualPairing_separatingLeft
∀ (R : Type u_4) (M : Type u_5) [inst : SeminormedCommRing R] [inst_1 : TopologicalSpace M] [inst_2 : AddCommGroup M] [inst_3 : Module R M], (topDualPairing R M).SeparatingLeft
- Defined in
- Mathlib.Analysis.LocallyConvex.Polar
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- ContinuousLinearMapstatement · cited by 5,352
- LinearMap.ker_eq_botproof · cited by 92
- LinearMap.SeparatingLeftstatement · cited by 47
- SeminormedCommRingstatement and proof · cited by 38
- topDualPairingstatement · cited by 24
- LinearMap.separatingLeft_iff_ker_eq_botproof · cited by 13
- ContinuousLinearMap.coe_injectiveproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- StrongDual.polar_univproof · cited by 0