Theorems · Theorem · commutative algebra
spectralNorm_neg
∀ {K : Type u_2} [inst : NormedField K] {L : Type u_3} [inst_1 : Field L] [inst_2 : Algebra K L] [IsUltrametricDist K]
{y : L}, IsAlgebraic K y → spectralNorm K L (-y) = spectralNorm K L yspectralNorm K L (-y) = spectralNorm K L y .
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- Foundations
- Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Algebrastatement and proof · cited by 11,388
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- Algebra.algebraMapproof · cited by 4,706
- FiniteDimensionalproof · cited by 1,854
- NormedFieldstatement and proof · cited by 1,084
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- IntermediateField.adjoinproof · cited by 382
- map_negproof · cited by 378
- IsUltrametricDiststatement and proof · cited by 177
- IsAlgebraicstatement and proof · cited by 163
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