Theorems · Inductive type · commutative algebra
DividedPowerAlgebra.Rel
(R : Type u_2) →
(M : Type u_3) →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid M] → [Module R M] → MvPolynomial (ℕ × M) R → MvPolynomial (ℕ × M) R → PropThe type coding the basic relations that will give rise to the divided power algebra.
The class of MvPolynomial.X (n, a) will be equal to dpow n a, for a ∈ M.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement · cited by 20,661
- AddCommMonoidstatement · cited by 12,281
- CommSemiringstatement · cited by 10,911
- MvPolynomialstatement · cited by 2,140
Cited by4
Results whose statement or proof uses this declaration.
- DividedPowerAlgebra.ringConproof · cited by 49
- DividedPowerAlgebra.Rel.casesOnstatement and proof · cited by 0
- DividedPowerAlgebra.Rel.recOnstatement and proof · cited by 0
- DividedPowerAlgebra.RelIproof · cited by 0