Theorems · Theorem · number theory
round_add_intCast
∀ {α : Type u_2} [inst : Ring α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] [inst_3 : FloorRing α] (x : α)
(y : ℤ), round (x + ↑y) = round x + y- Defined in
- Mathlib.Algebra.Order.Round
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 39 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
- IsStrictOrderedRingstatement and proof · cited by 2,490
- FloorRingstatement and proof · cited by 405
- Int.floorproof · cited by 225
- Int.ceilproof · cited by 138
- Int.fractproof · cited by 114
- roundstatement and proof · cited by 49
- Int.ceil_add_intCastproof · cited by 8
- Int.floor_add_intCastproof · cited by 8
- apply_ite₂proof · cited by 4
- Int.fract_add_intCastproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- round_sub_intCastproof · cited by 2
- round_add_natCastproof · cited by 2
- round_intCast_addproof · cited by 0
- round_add_oneproof · cited by 0