Theorems · Theorem · functional analysis
norm_units_zsmul
∀ {E : Type u_8} [inst : SeminormedAddGroup E] (n : ℤˣ) (a : E), ‖n • a‖ = ‖a‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddGroup
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- Unitsstatement and proof · cited by 2,804
- SeminormedAddGroupstatement and proof · cited by 331
- Units.isUnitproof · cited by 116
- norm_isUnit_zsmulproof · cited by 3
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