Theorems · Theorem · commutative algebra
MvPolynomial.rename_C
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} [inst : CommSemiring R] (f : σ → τ) (r : R),
(MvPolynomial.rename f) (MvPolynomial.C r) = MvPolynomial.C r- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 87 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.Cstatement · cited by 400
- AddMonoidAlgebra.singleproof · cited by 250
- MvPolynomial.renamestatement · cited by 168
- AddMonoidAlgebra.mapDomain_singleproof · cited by 23
- Finsupp.mapDomain.addMonoidHomproof · cited by 19
- Finsupp.mapDomain_zeroproof · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- MvPolynomial.map_renameproof · cited by 8
- MvPolynomial.constantCoeff_renameproof · cited by 2
- MvPolynomial.exists_finset_renameproof · cited by 2
- WittVector.mul_polyOfInterest_aux3proof · cited by 1
- MvPolynomial.finSuccEquiv_eqproof · cited by 1
- MvPolynomial.prime_C_iffproof · cited by 1