Theorems · Theorem · commutative algebra
OfNat.ofNat_ne_one
∀ {R : Type u_1} [inst : AddMonoidWithOne R] [CharZero R] (n : ℕ) [inst_2 : n.AtLeastTwo], OfNat.ofNat n ≠ 1- Defined in
- Mathlib.Algebra.CharZero.Defs
- Cited by
- 3 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.
Cites5
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_oneproof · cited by 2
- Nat.AtLeastTwo.ne_oneproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- IsSimpleAddGroup.prime_cardproof · cited by 2
- OfNat.one_ne_ofNatproof · cited by 2
- ZMod.completedLFunction_one_sub_evenproof · cited by 1