Theorems · Theorem · commutative algebra
MvPolynomial.constantCoeff_rename
∀ {σ : Type u_1} {R : Type u_4} [inst : CommSemiring R] {τ : Type u_6} (f : σ → τ) (φ : MvPolynomial σ R),
MvPolynomial.constantCoeff ((MvPolynomial.rename f) φ) = MvPolynomial.constantCoeff φ- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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 and proof · cited by 2,140
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- MvPolynomial.Xproof · cited by 552
- MvPolynomial.renamestatement and proof · cited by 168
- MvPolynomial.rename_Xproof · cited by 48
- MvPolynomial.constantCoeffstatement and proof · cited by 46
Cited by2
Results whose statement or proof uses this declaration.
- constantCoeff_wittStructureRat_zeroproof · cited by 1
- constantCoeff_wittStructureRatproof · cited by 1