Theorems · Theorem · field theory
Valued.integer.locallyFiniteOrder_units_mrange_of_isCompact_integer
∀ {K : Type u_1} {Γ₀ : Type u_2} [inst : Field K] [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [inst_2 : Valued K Γ₀],
IsCompact ↑(Valued.integer K) → Nonempty (LocallyFiniteOrder (↥(MonoidHom.mrange Valued.v))ˣ)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites70
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- Valued.integer.mulArchimedean_mrange_of_isCompact_integerproof · cited by 1
- Valued.integer.isPrincipalIdealRing_of_compactSpaceproof · cited by 1