Theorems · Theorem · commutative algebra
normRingNorm_toFun
∀ (R : Type u_2) [inst : NonUnitalNormedRing R] (a : R), (normRingNorm R).toFun a = ‖a‖
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- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNormedRing
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- NonUnitalNormedRingstatement and proof · cited by 231
- AddGroupSeminorm.toFunstatement and proof · cited by 47
- RingSeminorm.toAddGroupSeminormstatement and proof · cited by 16
- RingNorm.toRingSeminormstatement and proof · cited by 11
- normRingNormstatement and proof · cited by 1
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