Theorems · Theorem · commutative algebra
DividedPowerAlgebra.dp_null_of_ne_zero
∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {n : ℕ},
n ≠ 0 → DividedPowerAlgebra.dp R n 0 = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- DividedPowerAlgebra.ringConstatement · cited by 49
- DividedPowerAlgebrastatement and proof · cited by 48
- DividedPowerAlgebra.dpstatement · cited by 31
- DividedPowerAlgebra.dp_nullproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- DividedPowerAlgebra.dp_sumproof · cited by 1