Theorems · Theorem · order theory
Int.abs_fract
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] {a : R} [IsOrderedRing R],
|Int.fract a| = Int.fract a- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- absstatement · cited by 1,814
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- Int.fractstatement · cited by 114
- abs_eq_selfproof · cited by 59
- Int.fract_nonnegproof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- abs_sub_round_eq_minproof · cited by 3
- ZSpan.norm_fract_leproof · cited by 2