Theorems · Theorem · commutative algebra
MvPolynomial.coe_C
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] (a : R), ↑(MvPolynomial.C a) = MvPowerSeries.C a- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement · cited by 659
- MvPolynomial.Cstatement · cited by 400
- MvPowerSeries.Cstatement · cited by 62
- MvPolynomial.toMvPowerSeriesstatement · cited by 59
- MvPolynomial.coe_monomialproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.eval₂_Cproof · cited by 1
- MvPowerSeries.rename_coeproof · cited by 0