Theorems · Theorem · commutative algebra
Polynomial.coe_zero
∀ {R : Type u_1} [inst : Semiring R], ↑0 = 0- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 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
- Polynomialstatement · cited by 5,681
- PowerSeriesstatement · cited by 797
- Polynomial.toPowerSeriesstatement · cited by 96
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.coeToPowerSeries.ringHomproof · cited by 5
- Polynomial.coe_eq_zero_iffproof · cited by 2
- PowerSeries.intValuation_eq_of_coeproof · cited by 2