Theorems · Theorem · commutative algebra
MvPowerSeries.expand_C
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] (p : ℕ) (hp : p ≠ 0) (r : R),
(MvPowerSeries.expand p hp) (MvPowerSeries.C r) = MvPowerSeries.C r- Defined in
- Mathlib.RingTheory.MvPowerSeries.Expand
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- mul_oneproof · cited by 3,885
- AlgHomstatement and proof · cited by 3,236
- map_oneproof · cited by 861
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.Cstatement and proof · cited by 62
- MvPowerSeries.expandstatement and proof · cited by 28
- MvPowerSeries.substAlgHomproof · cited by 24
- MvPowerSeries.HasSubst.X_powproof · cited by 11
- AlgHom.map_smul_of_towerproof · cited by 7
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