Theorems · Theorem · functional analysis
PiLp.continuous_ofLp
∀ (p : ENNReal) {ι : Type u_2} (β : ι → Type u_4) [inst : (i : ι) → TopologicalSpace (β i)], Continuous WithLp.ofLp- Defined in
- Mathlib.Analysis.Normed.Lp.PiLp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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.
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement and proof · cited by 9,879
- Continuousstatement · cited by 2,592
- WithLpstatement · cited by 345
- WithLp.ofLpstatement · cited by 323
- continuous_induced_domproof · cited by 47
Cited by1
Results whose statement or proof uses this declaration.
- PiLp.continuous_applyproof · cited by 8