Theorems · Theorem · ring theory
SkewPolynomial.update_zero_eq_erase
∀ {R : Type u_1} [inst : Semiring R] (p : SkewPolynomial R) (n : ℕ), p.update n 0 = SkewPolynomial.erase n p- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 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.
- Semiringstatement and proof · cited by 13,802
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.coeffproof · cited by 37
- Function.update_applyproof · cited by 23
- SkewPolynomial.updatestatement · cited by 9
- SkewPolynomial.erasestatement · cited by 8
- SkewPolynomial.coeff_eraseproof · cited by 3
- SkewPolynomial.coeff_updateproof · cited by 1
- SkewPolynomial.extproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SkewPolynomial.support_update_zeroproof · cited by 0