Theorems · Theorem · functional analysis
Pi.norm_single
∀ {ι : Type u_1} {G : ι → Type u_4} [inst : Fintype ι] [inst_1 : DecidableEq ι]
[inst_2 : (i : ι) → NormedAddCommGroup (G i)] {i : ι} (y : G i), ‖Pi.single i y‖ = ‖y‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 156 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.
- Realstatement · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement · cited by 5,413
- Pi.singlestatement · cited by 518
- Pi.nnnorm_singleproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.nonempty_cellFrontierproof · cited by 1