Theorems · Theorem · algebraic geometry
FormalGroup.zero_constantCoeff
∀ {R : Type u_1} [inst : CommRing R] (self : FormalGroup R), MvPowerSeries.constantCoeff self.toPowerSeries = 0The constant coefficient of the formal group law is zero.
- Defined in
- Mathlib.RingTheory.FormalGroup.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 94 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.constantCoeffstatement · cited by 98
- FormalGroupstatement and proof · cited by 25
- FormalGroup.toPowerSeriesstatement · cited by 21
Cited by5
Results whose statement or proof uses this declaration.
- FormalGroup.assoc'proof · cited by 2
- FormalGroup.constantCoeff_Xzeroproof · cited by 1
- FormalGroup.constantCoeff_zeroXproof · cited by 1
- FormalGroup.Xzero_subst_Xzeroproof · cited by 1
- FormalGroup.zeroX_subst_zeroXproof · cited by 1