Theorems · Theorem · field theory
Polynomial.map_natCast
∀ {R : Type u} {S : Type v} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+* S) (n : ℕ), Polynomial.map f ↑n = ↑n- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- RingHomstatement and proof · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.mapstatement · cited by 806
- map_natCastproof · cited by 134
- Polynomial.mapRingHomproof · cited by 98
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.derivative_mapproof · cited by 17
- descPochhammer_succ_rightproof · cited by 14
- ascPochhammer_succ_rightproof · cited by 11
- Polynomial.map_ofNatproof · cited by 8
- hasDerivAt_bernoulliFunproof · cited by 5
- bernsteinPolynomial.mapproof · cited by 0
- descPochhammer_succ_comp_X_sub_oneproof · cited by 0
- ascPochhammer_succ_comp_X_add_oneproof · cited by 0