Theorems · Theorem · commutative algebra
DividedPowerAlgebra.dp_null
∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {n : ℕ},
DividedPowerAlgebra.dp R n 0 = if n = 0 then 1 else 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- zero_smulproof · cited by 716
- ne_of_gtproof · cited by 637
- zero_powproof · cited by 361
- DividedPowerAlgebra.ringConstatement · cited by 49
- DividedPowerAlgebrastatement and proof · cited by 48
- DividedPowerAlgebra.dpstatement and proof · cited by 31
- DividedPowerAlgebra.dp_zeroproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- DividedPowerAlgebra.dp_null_of_ne_zeroproof · cited by 1
- DividedPowerAlgebra.submodule_span_prod_dp_eq_topproof · cited by 0