Theorems · Definition · commutative algebra
DividedPowerAlgebra.dp
(R : Type u_2) →
{M : Type u_3} →
[inst : CommSemiring R] → [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → ℕ → M → DividedPowerAlgebra R Mdp R n m is the equivalence class of X (⟨n, m⟩) in DividedPowerAlgebra R M.
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- MvPolynomial.Xproof · cited by 552
- RingCon.toQuotientproof · cited by 69
- DividedPowerAlgebrastatement · cited by 48
Cited by32
Results whose statement or proof uses this declaration.
- DividedPowerAlgebra.dp_zerostatement · cited by 6
- DividedPowerAlgebra.embedproof · cited by 5
- DividedPowerAlgebra.dp_mulstatement · cited by 4
- DividedPowerAlgebra.dp_smulstatement and proof · cited by 4
- DividedPowerAlgebra.map_apply_dpstatement and proof · cited by 4
- DividedPowerAlgebra.algHom_ext_iffstatement and proof · cited by 3
- DividedPowerAlgebra.dp_addstatement · cited by 3
- DividedPowerAlgebra.dp_defstatement · cited by 3
- DividedPowerAlgebra.dp_nullstatement and proof · cited by 2
- DividedPowerAlgebra.lift'_apply_dpstatement · cited by 2
- DividedPowerAlgebra.lift_apply_dpstatement and proof · cited by 2
- DividedPowerAlgebra.algHom_extstatement and proof · cited by 1