Theorems · Theorem · functional analysis
SeminormFamily.basisSets_smul
∀ {R : Type u_1} {E : Type u_6} {ι : Type u_9} [inst : SeminormedRing R] [inst_1 : AddCommGroup E] [inst_2 : Module R E]
(p : SeminormFamily R E ι), ∀ U ∈ p.basisSets, ∃ V ∈ nhds 0, ∃ W ∈ p.addGroupFilterBasis.sets, V • W ⊆ U- Cited by
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- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
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- AddCommGroupstatement and proof · cited by 12,871
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- le_reflproof · cited by 2,061
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- Finset.supproof · cited by 530
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