Theorems · Theorem · functional analysis
SeminormFamily.basisSets_univ_mem
∀ {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), Set.univ ∈ p.basisSets- Cited by
- 1 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Set.univstatement and proof · cited by 3,945
- SeminormedRingstatement and proof · cited by 446
- Seminormproof · cited by 272
- one_posproof · cited by 102
- Seminorm.ballproof · cited by 78
- Finset.sup_emptyproof · cited by 72
- SeminormFamilystatement and proof · cited by 68
- SeminormFamily.basisSetsstatement · cited by 22
- SeminormFamily.basisSets_iffproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- SeminormFamily.basisSets_nonemptyproof · cited by 0