Theorems · Theorem · commutative algebra
RatFunc.coe_X
∀ {F : Type u} [inst : Field F], (algebraMap (RatFunc F) (LaurentSeries F)) RatFunc.X = (HahnSeries.single 1) 1- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement · cited by 4,706
- Polynomial.Xproof · cited by 1,639
- HahnSeriesstatement · cited by 528
- RatFuncstatement and proof · cited by 301
- ZeroHomstatement · cited by 161
- IsScalarTower.algebraMap_applyproof · cited by 116
- HahnSeries.singlestatement and proof · cited by 82
- LaurentSeriesstatement and proof · cited by 64
Cited by2
Results whose statement or proof uses this declaration.
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1
- LaurentSeries.coe_X_compareproof · cited by 0