Theorems · Theorem · commutative algebra
Nat.cast_ne_one
∀ {R : Type u_1} [inst : AddMonoidWithOne R] [CharZero R] {n : ℕ}, ↑n ≠ 1 ↔ n ≠ 1- Defined in
- Mathlib.Algebra.CharZero.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- AddMonoidWithOneCharZero
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
- Iff.notproof · cited by 489
- AddMonoidWithOnestatement and proof · cited by 313
- Nat.cast_eq_oneproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- OfNat.ofNat_ne_oneproof · cited by 3
- Function.mulSupport_natCastproof · cited by 0