Theorems · Definition · functional analysis

AlgebraNorm.noConfusionType

Sort u →
  {R : Type u_1} →
    [inst : SeminormedCommRing R] →
      {S : Type u_2} →
        [inst_1 : Ring S] →
          [inst_2 : Algebra R S] →
            AlgebraNorm R S →
              {R' : Type u_1} →
                [inst' : SeminormedCommRing R'] →
                  {S' : Type u_2} → [inst'_1 : Ring S'] → [inst'_2 : Algebra R' S'] → AlgebraNorm R' S' → Sort u

Defined in: Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
Cited by: 0 results in Mathlib
Foundations: Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: SeminormedCommRing Ring Algebra SeminormedCommRing Ring Algebra

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Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Algebrastatement and proof · cited by 11,388
Ringstatement and proof · cited by 7,463
Norm.normproof · cited by 5,413
AddGroupSeminorm.toFunproof · cited by 47
AlgebraNormstatement and proof · cited by 39
SeminormedCommRingstatement and proof · cited by 38
RingNormproof · cited by 16
RingSeminorm.toAddGroupSeminormproof · cited by 16
RingNorm.toRingSeminormproof · cited by 11
AlgebraNorm.casesOnproof · cited by 0

Cited by1

Results whose statement or proof uses this declaration.

AlgebraNorm.noConfusionstatement · cited by 0