Theorems · Theorem · commutative algebra
PowerSeries.coeff_zero_C
∀ {R : Type u_1} [inst : Semiring R] (a : R), (PowerSeries.coeff 0) (PowerSeries.C a) = a- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 98 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- PowerSeriesstatement · cited by 797
- PowerSeries.coeffstatement · cited by 324
- PowerSeries.Cstatement · cited by 76
- PowerSeries.coeff_Cproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- HahnSeries.ofPowerSeries_Cproof · cited by 3
- PowerSeries.coeff_subst_sum_C_substInvFun_mul_X_pow_sub_Xproof · cited by 1
- PowerSeries.coeff_zero_oneproof · cited by 0
- PowerSeries.heval_Cproof · cited by 0