Theorems · Theorem · order theory
Int.fract_sub_intCast
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (a : R) (m : ℤ),
Int.fract (a - ↑m) = Int.fract a- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
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Cites9
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.floorproof · cited by 225
- Int.fractstatement and proof · cited by 114
- Int.cast_subproof · cited by 78
- sub_sub_sub_cancel_rightproof · cited by 34
- Int.floor_sub_intCastproof · cited by 3
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