Theorems · Theorem · functional analysis
equiv_lpPiLp_norm
∀ {α : Type u_1} {E : α → Type u_2} [inst : (i : α) → NormedAddCommGroup (E i)] {p : ENNReal} [inst_1 : Fintype α]
(f : ↥(lp E p)), ‖Equiv.lpPiLp f‖ = ‖f‖- Defined in
- Mathlib.Analysis.Normed.Lp.LpEquiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroupFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Set.ofPredproof · cited by 6,101
- Norm.normstatement and proof · cited by 5,413
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- AddSubgroupstatement · cited by 3,232
Cited by1
Results whose statement or proof uses this declaration.
- lpPiLpₗᵢproof · cited by 2