Theorems · Theorem · order theory
Int.le_floor_add
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (a b : R),
⌊a⌋ + ⌊b⌋ ≤ ⌊a + b⌋- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- add_le_addproof · cited by 666
- FloorRingstatement and proof · cited by 405
- Int.floorstatement and proof · cited by 225
- Int.cast_addproof · cited by 124
- Int.floor_leproof · cited by 30
- Int.le_floorproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- Int.fract_add_leproof · cited by 0