Theorems · Theorem · field theory
Polynomial.aevalTower_comp_C
∀ {R : Type u} {S : Type v} {A' : Type u_1} [inst : CommSemiring R] [inst_1 : CommSemiring A'] [inst_2 : CommSemiring S]
[inst_3 : Algebra S R] [inst_4 : Algebra S A'] (g : R →ₐ[S] A') (y : A'),
(↑(Polynomial.aevalTower g y)).comp Polynomial.C = ↑g- Defined in
- Mathlib.Algebra.Polynomial.AlgebraMap
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- AlgHomstatement and proof · cited by 3,236
- Polynomial.Cstatement · cited by 1,598
- RingHom.compstatement · cited by 899
- RingHomClass.toRingHomstatement · cited by 746
- RingHom.extproof · cited by 331
- Polynomial.aevalTowerstatement · cited by 14
- Polynomial.aevalTower_Cproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.aevalTower_comp_algebraMapproof · cited by 1