Theorems · Theorem · algebraic geometry
FormalGroup.add_zero
∀ {R : Type u_1} [inst : CommRing R] {σ : Type u_3} (F : FormalGroup R) {f : MvPowerSeries σ R},
PowerSeries.HasSubst f → MvPowerSeries.subst ![f, 0] F.toPowerSeries = f- Defined in
- Mathlib.RingTheory.FormalGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites26
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
- Algebraproof · cited by 11,388
- Algebra.algebraMapproof · cited by 4,706
- MvPolynomialproof · cited by 2,140
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- MvPowerSeriesstatement and proof · cited by 659
- Matrix.cons_val_fin_oneproof · cited by 225
- Fintype.elemsproof · cited by 194
- Fintype.completeproof · cited by 192
- PowerSeries.Xproof · cited by 183
- MvPolynomial.eval₂proof · cited by 103
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