Theorems · Definition · functional analysis
WithLp.congr
(p : ENNReal) → {V : Type u_4} → {V' : Type u_5} → V ≃ V' → WithLp p V ≃ WithLp p V'Lift an equivalence to WithLp.
- Defined in
- Mathlib.Analysis.Normed.Lp.WithLp
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- WithLpstatement · cited by 345
- Equiv.transproof · cited by 337
- WithLp.equivproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- IsometryEquiv.withLpProdCongrproof · cited by 2
- IsometryEquiv.withLpProdCommproof · cited by 2
- WithLp.congr_symmstatement · cited by 0
- WithLp.congr_transstatement · cited by 0
- WithLp.coe_congrstatement · cited by 0
- WithLp.congr_reflstatement · cited by 0