Theorems · Theorem · functional analysis
SeparatingDual.t1Space
∀ {R : Type u_1} {V : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup V] [inst_2 : TopologicalSpace V]
[inst_3 : TopologicalSpace R] [inst_4 : Module R V] [SeparatingDual R V] [T1Space R], T1Space V- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Set.preimageproof · cited by 4,946
- Compl.complproof · cited by 2,925
- StrongDualproof · cited by 459
- T1Spacestatement and proof · cited by 275
- IsOpen.preimageproof · cited by 147
- ContinuousLinearMap.continuousproof · cited by 124
- isOpen_compl_singletonproof · cited by 27
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