Theorems · Theorem · order theory
Int.cast_nonpos
∀ {R : Type u_1} [inst : AddCommGroupWithOne R] [inst_1 : PartialOrder R] [AddLeftMono R] [ZeroLEOneClass R] [NeZero 1]
{n : ℤ}, ↑n ≤ 0 ↔ n ≤ 0- Defined in
- Mathlib.Algebra.Order.Ring.Cast
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- AddLeftMonostatement and proof · cited by 687
- ZeroLEOneClassstatement and proof · cited by 304
- Int.cast_zeroproof · cited by 188
- AddCommGroupWithOnestatement and proof · cited by 61
- Int.cast_leproof · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.integral_eval_T_real_measureT_of_ne_zeroproof · cited by 3