Theorems · Theorem · field theory
Valued.extensionValuation_coe_apply
∀ {K : Type u_1} [inst : Field K] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [hv : Valued K Γ₀]
{x : UniformSpace.Completion K},
(MonoidWithZeroHom.ofClass Valued.extensionValuation) x = MonoidWithZeroHom.ValueGroup₀.embedding (Valued.extension x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- Valuationstatement · cited by 823
- MonoidWithZeroHomstatement · cited by 704
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- MonoidWithZeroHom.ofClassstatement · cited by 204
- UniformSpace.Completionstatement and proof · cited by 192
- MonoidWithZeroHom.valueGroupstatement · cited by 170
- MonoidWithZeroHom.ValueGroup₀statement · cited by 166
- Valued.vstatement · cited by 163
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