Theorems · Theorem · order theory
Int.cast_mono
∀ {R : Type u_1} [inst : AddCommGroupWithOne R] [inst_1 : PartialOrder R] [AddLeftMono R] [ZeroLEOneClass R],
Monotone Int.cast- Defined in
- Mathlib.Algebra.Order.Ring.Cast
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Monotonestatement · cited by 1,397
- AddLeftMonostatement and proof · cited by 687
- Int.cast_natCastproof · cited by 393
- ZeroLEOneClassstatement and proof · cited by 304
- Nat.cast_nonneg'proof · cited by 245
- sub_nonnegproof · cited by 167
- Int.cast_subproof · cited by 78
- AddCommGroupWithOnestatement and proof · cited by 61
Cited by5
Results whose statement or proof uses this declaration.
- Int.ceil_lt_mulproof · cited by 2
- Rat.mulHeight_eq_max_abs_of_gcd_eq_oneproof · cited by 2
- norm_jacobiTheta₂_term_fderiv_leproof · cited by 2
- Int.cast_maxproof · cited by 1
- Int.cast_minproof · cited by 0