Theorems · Theorem · commutative algebra
PowerSeries.constantCoeff_X
∀ {R : Type u_1} [inst : Semiring R], PowerSeries.constantCoeff PowerSeries.X = 0- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 95 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
- PowerSeriesstatement · cited by 797
- PowerSeries.Xstatement · cited by 183
- PowerSeries.constantCoeffstatement · cited by 126
- MvPowerSeries.coeff_zero_Xproof · cited by 3
Cited by16
Results whose statement or proof uses this declaration.
- Nat.Partition.hasProd_powerSeriesMk_card_restrictedproof · cited by 2
- PowerSeries.eq_X_mul_shift_add_constproof · cited by 2
- PowerSeries.eq_shift_mul_X_add_constproof · cited by 2
- PowerSeries.mk_one_mul_one_sub_eq_oneproof · cited by 2
- PowerSeries.HasSubst.X_powproof · cited by 2
- bernoulli'PowerSeries_mul_exp_sub_oneproof · cited by 1
- PowerSeries.invUnitsSub_mul_Xproof · cited by 1
- PowerSeries.WithPiTopology.tprod_one_sub_X_pow_ne_zeroproof · cited by 1
- PowerSeries.coeff_X_mul_largeSchroderSeriesSeries_sqproof · cited by 1
- PowerSeries.coeff_subst_sum_C_substInvFun_mul_X_pow_sub_Xproof · cited by 1
- PowerSeries.coeff_zero_X_mulproof · cited by 0