Theorems · Theorem · commutative algebra
MvPowerSeries.constantCoeff_expand
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] (p : ℕ) (hp : p ≠ 0) (φ : MvPowerSeries σ R),
MvPowerSeries.constantCoeff ((MvPowerSeries.expand p hp) φ) = MvPowerSeries.constantCoeff φ- 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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Cites12
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
- Finsuppproof · cited by 5,255
- AlgHomstatement · cited by 3,236
- smul_zeroproof · cited by 665
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.coeffproof · cited by 273
- MvPowerSeries.constantCoeffstatement and proof · cited by 98
- MvPowerSeries.expandstatement and proof · cited by 28
- MvPowerSeries.coeff_expand_smulproof · cited by 7
- MvPowerSeries.coeff_zero_eq_constantCoeffproof · cited by 6
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