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Theorems · Theorem · functional analysis

Unitization.continuous_fst

∀ {𝕜 : Type u_3} {A : Type u_4} [inst : NontriviallyNormedField 𝕜] [inst_1 : NonUnitalNormedRing A],
  Continuous fun x => x.toProd.1
Defined in
Mathlib.Analysis.Normed.Algebra.Unitization
Cited by
1 results in Mathlib
Foundations
Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNonUnitalNormedRing
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Around this declaration

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

cfcₙAux_mem_range_inr · cited by 1cfcₙAux_mem_range_inrNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuous · cited by 2592ContinuousNonUnitalNormedRing · cited by 231NonUnitalNormedRingUnitization · cited by 220UnitizationUnitization.toProd · cited by 76Unitization.toProdUniformContinuous.continuous · cited by 66UniformContinuous.continu…Unitization.uniformContinuous_fst · cited by 1Unitization.uniformContin…Unitization.continuous_fstCITED BYCITES

Cites7

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Cited by1

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