Theorems · Theorem · field theory
Polynomial.smeval_one
∀ (R : Type u_1) [inst : Semiring R] {S : Type u_2} [inst_1 : AddCommMonoid S] [inst_2 : Pow S ℕ]
[inst_3 : MulActionWithZero R S] (x : S), Polynomial.smeval 1 x = 1 • x ^ 0- Defined in
- Mathlib.Algebra.Polynomial.Smeval
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddCommMonoidstatement and proof · cited by 12,281
- Polynomialstatement and proof · cited by 5,681
- one_smulproof · cited by 1,374
- MulActionWithZerostatement and proof · cited by 79
- Polynomial.smevalstatement and proof · cited by 65
- Polynomial.C_1proof · cited by 57
- Polynomial.smeval_Cproof · cited by 8
Cited by10
Results whose statement or proof uses this declaration.
- Polynomial.smeval_natCastproof · cited by 4
- Polynomial.ascPochhammer_smeval_castproof · cited by 3
- Complex.one_add_cpow_hasFPowerSeriesOnBall_zeroproof · cited by 3
- Polynomial.descPochhammer_smeval_eq_ascPochhammerproof · cited by 2
- Ring.multichoose_zero_right'proof · cited by 2
- Polynomial.ascPochhammer_smeval_neg_eq_descPochhammerproof · cited by 1
- Polynomial.descPochhammer_smeval_eq_descFactorialproof · cited by 1
- Ring.descPochhammer_smeval_addproof · cited by 1
- Ring.descPochhammer_succ_succ_smevalproof · cited by 1
- Ring.ascPochhammer_succ_succproof · cited by 1