Mathlib Map

Theorems · Definition · functional analysis

AlgebraNorm.toRingNorm

{R : Type u_1} →
  [inst : SeminormedCommRing R] →
    {S : Type u_2} → [inst_1 : Ring S] → [inst_2 : Algebra R S] → AlgebraNorm R S → RingNorm S
Defined in
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
Cited by
3 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
SeminormedCommRingRingAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

spectralMulAlgNorm · cited by 5spectralMulAlgNormalgNormFromConst · cited by 2algNormFromConstAlgebraNorm.smul' · cited by 1AlgebraNorm.smul'AlgebraNorm.toFun_eq_coe · cited by 0AlgebraNorm.toFun_eq_coeAlgebraNorm.toRingSeminorm' · cited by 0AlgebraNorm.toRingSeminor…AlgebraNorm.toSeminorm · cited by 0AlgebraNorm.toSeminormalgNormFromConst_def · cited by 0algNormFromConst_defAlgebra · cited by 11388AlgebraRing · cited by 7463RingAlgebraNorm · cited by 39AlgebraNormSeminormedCommRing · cited by 38SeminormedCommRingRingNorm · cited by 16RingNormAlgebraNorm.toRingNormCITED BYCITES

Cites5

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Cited by7

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