Theorems · Theorem · field theory
RatFunc.eval_algebraMap
∀ {K : Type u} [inst : Field K] {L : Type u} [inst_1 : Field L] (f : K →+* L) (a : L) {S : Type u_1}
[inst_2 : CommSemiring S] [inst_3 : Algebra S (Polynomial K)] (p : S),
RatFunc.eval f a ((algebraMap S (RatFunc K)) p) = Polynomial.eval₂ f a ((algebraMap S (Polynomial K)) p)- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 132 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.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- div_oneproof · cited by 629
- RatFuncstatement and proof · cited by 301
- Polynomial.eval₂statement and proof · cited by 267
- IsScalarTower.algebraMap_applyproof · cited by 116
- RatFunc.denomproof · cited by 59
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