Theorems · Theorem · commutative algebra
MvPowerSeries.constantCoeff_X
∀ {σ : Type u_1} {R : Type u_2} [inst : Semiring R] (s : σ), MvPowerSeries.constantCoeff (MvPowerSeries.X s) = 0- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.constantCoeffstatement · cited by 98
- MvPowerSeries.Xstatement · cited by 98
- MvPowerSeries.coeff_zero_Xproof · cited by 3
Cited by16
Results whose statement or proof uses this declaration.
- PowerSeries.HasSubst.Xproof · cited by 5
- MvPowerSeries.HasSubst.X_zeroproof · cited by 4
- MvPowerSeries.HasSubst.zero_Xproof · cited by 4
- MvPowerSeries.HasEval.Xproof · cited by 4
- MvPowerSeries.HasSubst.X_Xproof · cited by 4
- PowerSeries.subst_substInv_rightproof · cited by 2
- MvPowerSeries.HasSubst.X_compproof · cited by 1
- MvPowerSeries.HasSubst.cons_subst_zero_leftproof · cited by 1
- MvPowerSeries.HasSubst.cons_subst_zero_rightproof · cited by 1
- FormalGroup.Xzero_subst_Xzeroproof · cited by 1
- FormalGroup.constantCoeff_Xzeroproof · cited by 1
- FormalGroup.constantCoeff_zeroXproof · cited by 1