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Theorems · Theorem · functional analysis

AlgebraNorm.ext

∀ {R : Type u_1} [inst : SeminormedCommRing R] {S : Type u_2} [inst_1 : Ring S] [inst_2 : Algebra R S]
  {p q : AlgebraNorm R S}, (∀ (x : S), p x = q x) → p = q
Defined in
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
Cited by
2 results in Mathlib
Foundations
Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedCommRingRingAlgebra
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Around this declaration

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

eq_of_powMul_faithful · cited by 1eq_of_powMul_faithfulAlgebraNorm.ext_iff · cited by 0AlgebraNorm.ext_iffDFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealAlgebra · cited by 11388AlgebraRing · cited by 7463RingDFunLike.ext · cited by 240DFunLike.extAlgebraNorm · cited by 39AlgebraNormSeminormedCommRing · cited by 38SeminormedCommRingAlgebraNorm.extCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.