Theorems · Theorem · field theory
RatFunc.valuedCompletionAtInfty.def
∀ (F : Type u_1) [inst : Field F] [inst_1 : DecidableEq (RatFunc F)] {x : RatFunc.CompletionAtInfty F},
Valued.v x = Valued.extensionValuation x- Defined in
- Mathlib.FieldTheory.RatFunc.Valuation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement · cited by 586
- RatFuncstatement and proof · cited by 301
- UniformSpace.Completionstatement · cited by 192
- Valued.vstatement · cited by 163
- Valued.extensionValuationstatement · cited by 10
- RatFunc.inftyValuedstatement · cited by 4
- RatFunc.CompletionAtInftystatement and proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- FunctionField.valuedFqtInfty.defproof · cited by 0