Theorems · Theorem · general topology
IsUltrametricDist.norm_tprod_le
∀ {M : Type u_1} {ι : Type u_2} [inst : SeminormedCommGroup M] [IsUltrametricDist M] (f : ι → M),
‖∏' (i : ι), f i‖ ≤ ⨆ i, ‖f i‖- Defined in
- Mathlib.Analysis.Normed.Group.Ultra
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- isEmpty_or_nonemptyproof · cited by 269
- tprodstatement · cited by 230
Cited by2
Results whose statement or proof uses this declaration.
- IsUltrametricDist.norm_tprod_le_of_forall_leproof · cited by 1
- IsUltrametricDist.nnnorm_tprod_leproof · cited by 1