Theorems · Theorem · field theory
Valued.extension_extends
∀ {K : Type u_1} [inst : Field K] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [hv : Valued K Γ₀]
(x : K), Valued.extension ↑x = Valued.v.restrict x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Filterproof · cited by 8,121
- Fieldstatement and proof · cited by 7,404
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- Valuationstatement · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Continuous.continuousAtproof · cited by 297
- MonoidWithZeroHom.ofClassstatement · cited by 204
- MonoidWithZeroHom.ValueGroup₀statement · cited by 166
- Valued.vstatement and proof · cited by 163
- UniformSpace.Completion.coe'statement · cited by 144
Cited by2
Results whose statement or proof uses this declaration.
- Valued.extensionValuation_apply_coeproof · cited by 3
- Valued.closure_coe_completion_v_ltproof · cited by 1