Theorems · Theorem · commutative algebra
MvPolynomial.sumRingEquiv_X_inl
∀ (R : Type u) (S₁ : Type v) (S₂ : Type w) [inst : CommSemiring R] (s : S₁), (MvPolynomial.sumRingEquiv R S₁ S₂) (MvPolynomial.X (Sum.inl s)) = MvPolynomial.X s
- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 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
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- RingEquivstatement · cited by 1,147
- Finsupp.singleproof · cited by 943
- MvPolynomial.Xstatement · cited by 552
- AddMonoidAlgebra.singleproof · cited by 250
- Finsupp.sumFinsuppAddEquivProdFinsuppproof · cited by 29
- Finsupp.comapDomain_singleproof · cited by 9
- MvPolynomial.sumRingEquivstatement · cited by 8
- Finsupp.sumFinsuppAddEquivProdFinsupp_applyproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.pderiv_sumRingEquivproof · cited by 2