Theorems · Theorem · commutative algebra
ValuativeRel.valuation_surjective
∀ {K : Type u_3} [inst : DivisionRing K] [inst_1 : ValuativeRel K], Function.Surjective ⇑(ValuativeRel.valuation K)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingValuativeRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- DivisionRingstatement and proof · cited by 1,062
- Valuationstatement · cited by 823
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.ValueGroupWithZerostatement · cited by 86
- ValuativeRel.posSubmonoidproof · cited by 45
- ValuativeRel.valuationstatement · cited by 42
- ValuativeRel.ValueGroupWithZero.indproof · cited by 6
- ValuativeRel.ValueGroupWithZero.mk_eq_valuationproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsNonarchimedeanLocalField.isCompact_closedBallproof · cited by 0