Theorems · Definition · field theory
RatFunc.inftyValued
(F : Type u_1) → [inst : Field F] → [DecidableEq (RatFunc F)] → Valued (RatFunc F) (WithZero (Multiplicative ℤ))
The valued field F(t) with the valuation at infinity.
- Defined in
- Mathlib.FieldTheory.RatFunc.Valuation
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 139 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Multiplicativestatement · cited by 875
- WithZerostatement · cited by 586
- RatFuncstatement and proof · cited by 301
- Valuedstatement · cited by 70
- RatFunc.inftyValuationproof · cited by 15
- Valued.mk'proof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- RatFunc.inftyValued.defstatement · cited by 1
- RatFunc.valuedCompletionAtInfty.defstatement · cited by 1
- FunctionField.inftyValuedFqt.defstatement · cited by 0
- FunctionField.inftyValuedFqtproof · cited by 0
- FunctionField.valuedFqtInfty.defstatement · cited by 0