Theorems · Theorem · field theory
Valued.extensionValuation_apply_coe
∀ {K : Type u_1} [inst : Field K] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [hv : Valued K Γ₀]
(x : K), Valued.extensionValuation ↑x = Valued.v x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- MonoidWithZeroHom.ValueGroup₀.embeddingproof · cited by 47
- Valued.extensionValuationstatement · cited by 10
- Valuation.embedding_restrictproof · cited by 9
- Valued.extension_extendsproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Valued.valuedCompletion_applyproof · cited by 11
- PadicComplex.valuation_extendsproof · cited by 2
- Valued.exists_coe_eq_vproof · cited by 0