Theorems · Theorem · functional analysis
lp.zeroBasis_apply
∀ {𝕜 : Type u_1} {α : Type u_3} [inst : NormedRing 𝕜] [inst_1 : DecidableEq α] (i : α), lp.zeroBasis i = lp.single 0 i 1- Defined in
- Mathlib.Analysis.Normed.Lp.lpSpace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedRingDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- ENNRealstatement · cited by 9,879
- AddSubgroupstatement · cited by 3,232
- Module.Basisstatement · cited by 1,477
- NormedRingstatement and proof · cited by 924
- PreLpstatement · cited by 163
- lpstatement · cited by 157
- Finsupp.single_applyproof · cited by 99
- lp.singlestatement · cited by 34
- lp.extproof · cited by 11
- lp.zeroBasisstatement · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.