Theorems · Theorem · order theory
Nat.not_ofNat_le_one
∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : PartialOrder α] [AddLeftMono α] [ZeroLEOneClass α] [CharZero α]
{n : ℕ} [inst_5 : n.AtLeastTwo], ¬OfNat.ofNat n ≤ 1- Defined in
- Mathlib.Data.Nat.Cast.Order.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- CharZerostatement and proof · cited by 932
- AddLeftMonostatement and proof · cited by 687
- Iff.notproof · cited by 489
- Nat.AtLeastTwostatement and proof · cited by 405
- not_leproof · cited by 328
- AddMonoidWithOnestatement and proof · cited by 313
- ZeroLEOneClassstatement and proof · cited by 304
- Nat.cast_le_oneproof · cited by 6
- Nat.AtLeastTwo.one_ltproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Nat.not_ofNat_lt_oneproof · cited by 0