Theorems · Definition · commutative algebra
PowerSeries.C
{R : Type u_1} → [inst : Semiring R] → R →+* PowerSeries RThe constant formal power series.
- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 76 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- PowerSeriesstatement · cited by 797
- MvPowerSeries.Cproof · cited by 62
Cited by77
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_Cstatement · cited by 11
- PowerSeries.coeff_C_mulstatement · cited by 8
- PowerSeries.monomial_eq_C_mul_X_powstatement · cited by 4
- PowerSeries.coeff_zero_Cstatement · cited by 4
- PowerSeries.substInvFunproof · cited by 4
- PowerSeries.monomial_zero_eq_Cstatement and proof · cited by 3
- PowerSeries.monomial_zero_eq_C_applystatement and proof · cited by 3
- HahnSeries.ofPowerSeries_Cstatement and proof · cited by 3
- Polynomial.coe_Cstatement · cited by 3
- PowerSeries.constantCoeff_surjproof · cited by 3
- PowerSeries.rescale_zerostatement · cited by 3
- PowerSeries.coeff_C_of_ne_zerostatement · cited by 3