Theorems · Definition · algebraic geometry
FormalGroup.Xzero
{R : Type u_1} → [inst : CommRing R] → FormalGroup R → PowerSeries RAn abbreviation of $F(X,0)$ for a formal group $F$.
- Defined in
- Mathlib.RingTheory.FormalGroup.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- PowerSeriesstatement · cited by 797
- PowerSeries.Xproof · cited by 183
- MvPowerSeries.substproof · cited by 73
- FormalGroupstatement and proof · cited by 25
- FormalGroup.toPowerSeriesproof · cited by 21
Cited by4
Results whose statement or proof uses this declaration.
- FormalGroup.coeff_one_Xzerostatement and proof · cited by 1
- FormalGroup.constantCoeff_Xzerostatement · cited by 1
- FormalGroup.Xzero_eq_Xstatement and proof · cited by 1
- FormalGroup.Xzero_subst_Xzerostatement and proof · cited by 1