Theorems · Theorem · number theory
round_sub_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
- 2 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- sub_eq_add_negproof · cited by 1,023
- FloorRingstatement and proof · cited by 405
- roundstatement and proof · cited by 49
- round_add_intCastproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- round_sub_natCastproof · cited by 1
- round_sub_oneproof · cited by 0