Theorems · Theorem · commutative algebra
Ideal.map_C_leadingCoeff
∀ {R : Type u} [inst : CommSemiring R] (p : Ideal R), (Ideal.map Polynomial.C p).leadingCoeff = p- Defined in
- Mathlib.RingTheory.Polynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Idealstatement and proof · cited by 4,748
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.natDegreeproof · cited by 1,105
- Ideal.mapstatement and proof · cited by 692
- Polynomial.leadingCoeffproof · cited by 498
- Ideal.extproof · cited by 131
- Ideal.mem_map_of_memproof · cited by 71
- Polynomial.leadingCoeff_Cproof · cited by 39
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.leadingCoeff_topproof · cited by 1