Theorems · Theorem · functional analysis
gauge_closure_zero
∀ {E : Type u_2} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E], gauge (closure 0) = 0- Defined in
- Mathlib.Analysis.Convex.Gauge
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- Realstatement and proof · cited by 25,697
- NormedSpacestatement and proof · cited by 12,499
- Set.ofPredproof · cited by 6,101
- Norm.normproof · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Set.extproof · cited by 2,266
- Set.Ioiproof · cited by 1,463
- LT.lt.ne'proof · cited by 1,417
- closurestatement · cited by 1,254
- InfSet.sInfproof · cited by 935
- norm_nonnegproof · cited by 725
Cited by1
Results whose statement or proof uses this declaration.
- gauge_closedBallproof · cited by 1