Theorems · Theorem · field theory
Polynomial.aeval_X_left
∀ {R : Type u} [inst : CommSemiring R], Polynomial.aeval Polynomial.X = AlgHom.id R (Polynomial R)- Defined in
- Mathlib.Algebra.Polynomial.AlgebraMap
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.aevalstatement · cited by 615
- AlgHom.idstatement · cited by 196
- Polynomial.aeval_Xproof · cited by 120
- Polynomial.algHom_extproof · cited by 19
Cited by7
Results whose statement or proof uses this declaration.
- Polynomial.transcendental_Xproof · cited by 5
- Polynomial.aeval_homogenize_X_oneproof · cited by 2
- Polynomial.aeval_X_left_applyproof · cited by 2
- isIntegral_of_isIntegralElem_of_monic_of_natDegree_ltproof · cited by 1
- Polynomial.transcendentalproof · cited by 0
- Polynomial.eval_uniqueproof · cited by 0