Theorems · Definition · commutative algebra

RingNorm.casesOn

{R : Type u_2} →
  [inst : NonUnitalNonAssocRing R] →
    {motive : RingNorm R → Sort u} →
      (t : RingNorm R) →
        ((toRingSeminorm : RingSeminorm R) →
            (eq_zero_of_map_eq_zero' : ∀ (x : R), toRingSeminorm.toFun x = 0 → x = 0) →
              motive { toRingSeminorm := toRingSeminorm, eq_zero_of_map_eq_zero' := eq_zero_of_map_eq_zero' }) →
          motive t

Defined in: Mathlib.Analysis.Normed.Unbundled.RingSeminorm
Cited by: 0 results in Mathlib
Foundations: Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NonUnitalNonAssocRing

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

Realstatement · cited by 25,697
NonUnitalNonAssocRingstatement and proof · cited by 354
RingSeminormstatement and proof · cited by 58
AddGroupSeminorm.toFunstatement and proof · cited by 47
RingNormstatement and proof · cited by 16
RingSeminorm.toAddGroupSeminormstatement and proof · cited by 16

Cited by2

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RingNorm.noConfusionproof · cited by 0
RingNorm.noConfusionTypeproof · cited by 0