Theorems · Theorem · number theory
FunctionField.valuedFqtInfty.def
Deprecated since 2026-04-14Use RatFunc.valuedCompletionAtInfty.def instead.
∀ (F : Type u_1) [inst : Field F] [inst_1 : DecidableEq (RatFunc F)] {x : RatFunc.CompletionAtInfty F},
Valued.v x = Valued.extensionValuation xAlias of RatFunc.valuedCompletionAtInfty.def.
- Defined in
- Mathlib.NumberTheory.FunctionField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
Around this declaration
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Cites12
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 · cited by 7,404
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement · cited by 586
- RatFuncstatement · 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 · cited by 2
- RatFunc.valuedCompletionAtInfty.defproof · cited by 1
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