Theorems · Theorem · field theory
Polynomial.map_div
∀ {R : Type u} {k : Type y} [inst : Field R] {p q : Polynomial R} [inst_1 : Field k] (f : R →+* k),
Polynomial.map f (p / q) = Polynomial.map f p / Polynomial.map f q- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cproof · cited by 1,598
- Polynomial.mapstatement and proof · cited by 806
- Polynomial.leadingCoeffproof · cited by 498
- Polynomial.map_Cproof · cited by 107
- map_inv₀proof · cited by 106
- Polynomial.map_mulproof · cited by 90
- Polynomial.divByMonicproof · cited by 77
- Polynomial.map_zeroproof · cited by 33
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