Theorems · Theorem · order theory
Int.fract_neg
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] {x : R},
Int.fract x ≠ 0 → Int.fract (-x) = 1 - Int.fract x- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites21
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
- zero_addproof · cited by 2,366
- LT.lt.leproof · cited by 2,189
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- Int.cast_oneproof · cited by 371
- neg_add_revproof · cited by 236
- Int.floorproof · cited by 225
- Int.cast_negproof · cited by 224
- lt_of_le_of_ne'proof · cited by 149
- Int.fractstatement and proof · cited by 114
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