Theorems · Theorem · commutative algebra
Polynomial.coe_C
∀ {R : Type u_1} [inst : Semiring R] (a : R), ↑(Polynomial.C a) = PowerSeries.C a- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 101 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Cstatement · cited by 1,598
- PowerSeriesstatement and proof · cited by 797
- Polynomial.monomialproof · cited by 256
- Polynomial.toPowerSeriesstatement and proof · cited by 96
- PowerSeries.Cstatement · cited by 76
- PowerSeries.monomialproof · cited by 29
- Polynomial.coe_monomialproof · cited by 5
- PowerSeries.monomial_zero_eq_C_applyproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- PowerSeries.IsWeierstrassDivisionAt.smulproof · cited by 2
- PowerSeries.eval₂_Cproof · cited by 0
- Polynomial.eval₂_C_X_eq_coeproof · cited by 0