Theorems · Theorem · commutative algebra
PowerSeries.constantCoeff_C
∀ {R : Type u_1} [inst : Semiring R] (a : R), PowerSeries.constantCoeff (PowerSeries.C a) = a- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 2 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.
Cites6
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.constantCoeffstatement · cited by 126
- PowerSeries.Cstatement · cited by 76
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.constantCoeff_surjproof · cited by 3
- PowerSeries.maximalIdeal_eq_span_Xproof · cited by 1