Theorems · Theorem · order theory
Int.ceil_intCast_add
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (z : ℤ) (a : R),
⌈↑z + a⌉ = z + ⌈a⌉- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, 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
- add_commproof · cited by 1,535
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- Int.ceilstatement and proof · cited by 138
- Int.ceil_add_intCastproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- round_eq_divproof · cited by 2
- Int.ceil_natCast_addproof · cited by 2