Theorems · Theorem · commutative algebra
OfNat.ofNat_ne_zero
∀ {R : Type u_1} [inst : AddMonoidWithOne R] [CharZero R] (n : ℕ) [inst_2 : n.AtLeastTwo], OfNat.ofNat n ≠ 0- Defined in
- Mathlib.Algebra.CharZero.Defs
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 16 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.
- CharZerostatement and proof · cited by 932
- Nat.AtLeastTwostatement and proof · cited by 405
- AddMonoidWithOnestatement and proof · cited by 313
- Nat.cast_ne_zeroproof · cited by 113
Cited by20
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.equation_of_Z_eq_zeroproof · cited by 7
- Cardinal.toNat_eq_ofNatproof · cited by 3
- WeierstrassCurve.Jacobian.nonsingular_of_Z_eq_zeroproof · cited by 2
- WeierstrassCurve.Jacobian.X_ne_zero_of_Z_eq_zeroproof · cited by 2
- IsSimpleAddGroup.prime_cardproof · cited by 2
- IsApproximateAddSubgroup.addSubgroupproof · cited by 1
- WeierstrassCurve.Projective.nonsingular_of_Z_eq_zeroproof · cited by 1
- IsApproximateAddSubgroup.one_leproof · cited by 1
- Finset.card_sq_le_card_mul_addEnergyproof · cited by 1
- WeierstrassCurve.Projective.equation_of_Z_eq_zeroproof · cited by 1
- Cardinal.mk_freeAddGroupproof · cited by 0
- Finset.addEnergy_eq_sum_sqproof · cited by 0