Theorems · Theorem · commutative algebra
PowerSeries.binomialSeries_add
∀ {R : Type u_1} {A : Type u_2} [inst : CommRing R] [inst_1 : BinomialRing R] [inst_2 : Ring A] [inst_3 : Algebra R A]
(r s : R), PowerSeries.binomialSeries A (r + s) = PowerSeries.binomialSeries A r * PowerSeries.binomialSeries A s- Defined in
- Mathlib.RingTheory.PowerSeries.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- mul_oneproof · cited by 3,885
- Finset.sum_congrproof · cited by 2,323
- mul_commproof · cited by 2,262
- PowerSeriesstatement · cited by 797
- SemigroupAction.mul_smulproof · cited by 291
- Finset.HasAntidiagonal.antidiagonalproof · cited by 218
- Commute.allproof · cited by 119
- PowerSeries.extproof · cited by 69
- BinomialRingstatement and proof · cited by 46
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.pow_addproof · cited by 0