Theorems · Theorem · functional analysis
nnnorm_zpow_abs
∀ {E : Type u_5} [inst : SeminormedGroup E] (a : E) (n : ℤ), ‖a ^ |n|‖₊ = ‖a ^ n‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedGroup
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- absstatement · cited by 1,814
- NNNorm.nnnormstatement · cited by 952
- SeminormedGroupstatement and proof · cited by 250
- NNReal.eqproof · cited by 201
- norm_zpow_absproof · cited by 2
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