Theorems · Theorem · field theory
Valued.valuedCompletion_apply
∀ {K : Type u_1} [inst : Field K] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [hv : Valued K Γ₀]
(x : K), Valued.v ↑x = Valued.v x- Cited by
- 11 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Valuationstatement · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- UniformSpace.Completionstatement · cited by 192
- Valued.vstatement and proof · cited by 163
- UniformSpace.Completion.coe'statement · cited by 144
- Valuedstatement and proof · cited by 70
- Valued.extensionValuation_apply_coeproof · cited by 3
Cited by11
Results whose statement or proof uses this declaration.
- NumberField.FinitePlace.norm_embeddingproof · cited by 6
- LaurentSeries.valuation_compareproof · cited by 3
- IsDedekindDomain.HeightOneSpectrum.valuedAdicCompletion_eq_valuationproof · cited by 2
- Valued.valuedCompletion_surjective_iffproof · cited by 2
- IsDedekindDomain.HeightOneSpectrum.valuedAdicCompletion_eq_valuation'proof · cited by 1
- Padic.withValUniformEquiv_norm_le_one_iffproof · cited by 0
- IsDedekindDomain.HeightOneSpectrum.coe_algebraMap_memproof · cited by 0
- LaurentSeries.tendsto_valuationproof · cited by 0
- Valuation.IsEquiv.valuedCompletion_le_one_iffproof · cited by 0
- IsDedekindDomain.HeightOneSpectrum.adicCompletion.valued_coeproof · cited by 0
- IsDedekindDomain.HeightOneSpectrum.adicCompletion_valueGroup_eqproof · cited by 0