Theorems · Theorem · functional analysis
Seminorm.gaugeSeminorm_ball
∀ {E : Type u_2} [inst : AddCommGroup E] [inst_1 : Module ℝ E] (p : Seminorm ℝ E), gaugeSeminorm ⋯ ⋯ ⋯ = p- Defined in
- Mathlib.Analysis.Convex.Gauge
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupModule
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- zero_lt_onestatement and proof · cited by 598
- Seminormstatement and proof · cited by 272
- DFunLike.coe_injectiveproof · cited by 161
- Seminorm.ballstatement · cited by 78
- gaugeSeminormstatement and proof · cited by 6
- Seminorm.convex_ballstatement and proof · cited by 4
- Seminorm.absorbent_ball_zerostatement and proof · cited by 4
- Seminorm.balanced_ball_zerostatement and proof · cited by 3
- Seminorm.gauge_ballproof · cited by 2
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