Theorems · Theorem · field theory
Valued.valuedCompletion_surjective_iff
∀ {K : Type u_1} [inst : Field K] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [hv : Valued K Γ₀],
Function.Surjective ⇑Valued.v ↔ Function.Surjective ⇑Valued.v- Cited by
- 2 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- Setproof · cited by 53,352
- TopologicalSpaceproof · cited by 24,529
- Ringproof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Set.ofPredproof · cited by 6,101
- Set.univproof · cited by 3,945
- Set.extproof · cited by 2,266
- IsClosedproof · cited by 1,639
- map_zeroproof · cited by 1,614
- eq_or_neproof · cited by 1,117
- Valuationstatement · cited by 823
Cited by2
Results whose statement or proof uses this declaration.
- LaurentSeries.valuation_compareproof · cited by 3
- IsDedekindDomain.HeightOneSpectrum.valuedAdicCompletion_surjectiveproof · cited by 2