Theorems · Theorem · field theory
Valued.integer.mulArchimedean_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) → MulArchimedean ↥(MonoidHom.mrange Valued.v)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coestatement and proof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Submonoidstatement · cited by 3,086
- Unitsproof · cited by 2,804
- IsCompactstatement and proof · cited by 1,282
- Valuationstatement · cited by 823
- LocallyFiniteOrderproof · cited by 658
- Subringstatement · cited by 602
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Valued.vstatement and proof · cited by 163
- Valuedstatement and proof · cited by 70
- MonoidHom.mrangestatement and proof · cited by 63
Cited by1
Results whose statement or proof uses this declaration.
- Valued.integer.isPrincipalIdealRing_of_compactSpaceproof · cited by 1