Theorems · Theorem · field theory
RatFunc.inftyValuation.X_inv
∀ (F : Type u_1) [inst : Field F] [inst_1 : DecidableEq (RatFunc F)], (RatFunc.inftyValuation F) (1 / RatFunc.X) = WithZero.exp (-1)
- Defined in
- Mathlib.FieldTheory.RatFunc.Valuation
- Cited by
- 1 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Multiplicativestatement and proof · cited by 875
- Valuationstatement · cited by 823
- one_divproof · cited by 624
- WithZerostatement and proof · cited by 586
- RatFuncstatement and proof · cited by 301
- WithZero.expstatement and proof · cited by 112
- RatFunc.Xstatement and proof · cited by 58
- RatFunc.inftyValuationstatement and proof · cited by 15
- zpow_neg_oneproof · cited by 11
- RatFunc.inftyValuation.X_zpowproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- FunctionField.inftyValuation.X_invproof · cited by 0