Theorems · Theorem · field theory
RatFunc.inftyValuation.X
∀ (F : Type u_1) [inst : Field F] [inst_1 : DecidableEq (RatFunc F)], (RatFunc.inftyValuation F) RatFunc.X = WithZero.exp 1
- 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.
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 and proof · cited by 875
- Valuationstatement · cited by 823
- 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 · cited by 15
- RatFunc.X_ne_zeroproof · cited by 1
- RatFunc.intDegree_Xproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- RatFunc.adicValuation_not_isEquiv_infty_valuationproof · cited by 2
- RatFunc.inftyValuation.X_zpowproof · cited by 2
- RatFunc.valuation_isEquiv_inftyValuation_of_one_lt_valuation_Xproof · cited by 1
- FunctionField.inftyValuation.Xproof · cited by 0