Mathlib Map

Theorems · Theorem · functional analysis

WithLp.idemSnd_apply

∀ {α : Type u_2} {β : Type u_3} [inst : SeminormedAddCommGroup α] [inst_1 : SeminormedAddCommGroup β] {p : ENNReal}
  (x : WithLp p (α × β)), WithLp.idemSnd x = WithLp.toLp p (0, x.snd)
Defined in
Mathlib.Analysis.Normed.Lp.ProdLp
Cited by
1 results in Mathlib
Foundations
Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupSeminormedAddCommGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WithLp.idemFst_add_idemSnd · cited by 2WithLp.idemFst_add_idemSndDFunLike.coe · cited by 62936DFunLike.coeENNReal · cited by 9879ENNRealSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupWithLp · cited by 345WithLpWithLp.snd · cited by 76WithLp.sndAddMonoid.End · cited by 64AddMonoid.EndWithLp.idemSnd · cited by 7WithLp.idemSndWithLp.idemSnd_applyCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.