Theorems · Theorem · order theory
Int.fract_add_fract_le
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (a b : R),
Int.fract a + Int.fract b ≤ Int.fract (a + b) + 1- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Nat.cast_oneproof · cited by 2,501
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- Int.cast_oneproof · cited by 371
- Int.floorproof · cited by 225
- Int.fractstatement and proof · cited by 114
- sub_addproof · cited by 51
- sub_add_sub_commproof · cited by 10
- sub_le_sub_iff_leftproof · cited by 8
- Int.le_floor_add_floorproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.