Theorems · Theorem · field theory
Valued.closure_coe_completion_v_lt
∀ {K : Type u_1} [inst : Field K] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [hv : Valued K Γ₀]
{γ : Γ₀ˣ}, closure (UniformSpace.Completion.coe' '' {x | Valued.v x < ↑γ}) = {x | Valued.extensionValuation x < ↑γ}- Cited by
- 1 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.
Cites42
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Cited by1
Results whose statement or proof uses this declaration.
- Valued.closure_coe_completion_v_mul_v_ltproof · cited by 0