Theorems · Theorem · functional analysis
Seminorm.bot_eq_zero
∀ {𝕜 : Type u_3} {E : Type u_7} [inst : SeminormedRing 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E], ⊥ = 0- Defined in
- Mathlib.Analysis.Seminorm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Bot.botstatement · cited by 4,720
- SeminormedRingstatement and proof · cited by 446
- Seminormstatement · cited by 272
Cited by1
Results whose statement or proof uses this declaration.
- SeminormFamily.basisSets_univ_memproof · cited by 1