Theorems · Definition · field theory
RatFunc.CompletionAtInfty
(F : Type u_1) → [inst : Field F] → [DecidableEq (RatFunc F)] → Type u_1
The completion F((t⁻¹)) of F(t) with respect to the valuation at infinity.
- Defined in
- Mathlib.FieldTheory.RatFunc.Valuation
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 141 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.
Cites3
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
- RatFuncstatement and proof · cited by 301
- UniformSpace.Completionproof · cited by 192
Cited by3
Results whose statement or proof uses this declaration.
- RatFunc.valuedCompletionAtInfty.defstatement and proof · cited by 1
- FunctionField.valuedFqtInfty.defstatement · cited by 0
- FunctionField.FqtInftyproof · cited by 0