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Theorems · Theorem · ring theory

Polynomial.opRingEquiv_op_C

∀ {R : Type u_1} [inst : Semiring R] (a : R),
  (Polynomial.opRingEquiv R) (MulOpposite.op (Polynomial.C a)) = Polynomial.C (MulOpposite.op a)
Defined in
Mathlib.RingTheory.Polynomial.Opposites
Cited by
1 results in Mathlib
Foundations
Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.opRingEquiv_op_C_mul_X_pow · cited by 0Polynomial.opRingEquiv_op…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringRingHom · cited by 10189RingHomPolynomial · cited by 5681PolynomialPolynomial.C · cited by 1598Polynomial.CRingEquiv · cited by 1147RingEquivMulOpposite · cited by 1135MulOppositeMulOpposite.op · cited by 520MulOpposite.opPolynomial.opRingEquiv · cited by 13Polynomial.opRingEquivPolynomial.opRingEquiv_op_monomial · cited by 3Polynomial.opRingEquiv_op…Polynomial.opRingEquiv_op_CCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.