Theorems · Theorem · algebraic geometry
FormalGroup.zeroX_subst_zeroX
∀ {R : Type u_1} [inst : CommRing R] (F : FormalGroup R), PowerSeries.subst F.zeroX F.zeroX = F.zeroX- Defined in
- Mathlib.RingTheory.FormalGroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 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.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- RingHomproof · cited by 10,189
- map_zeroproof · cited by 1,614
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- PowerSeriesproof · cited by 797
- MvPowerSeriesstatement and proof · cited by 659
- Matrix.cons_val_fin_oneproof · cited by 225
- Fintype.elemsproof · cited by 194
- Fintype.completeproof · cited by 192
Cited by1
Results whose statement or proof uses this declaration.
- FormalGroup.zeroX_eq_Xproof · cited by 1