Theorems · Theorem · order theory
Int.fract_fract
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (a : R),
Int.fract (Int.fract a) = Int.fract a- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 43 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
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- Int.fractstatement · cited by 114
- Int.fract_lt_oneproof · cited by 20
- Int.fract_nonnegproof · cited by 17
- Int.fract_eq_selfproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- round_eq_divproof · cited by 2
- ZSpan.fract_fractproof · cited by 1