Theorems · Theorem · order theory
Int.ceil_natCast_add
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (n : ℕ) (a : R),
⌈↑n + a⌉ = ↑n + ⌈a⌉- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 40 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
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- Int.cast_natCastproof · cited by 393
- Int.ceilstatement and proof · cited by 138
- Int.ceil_intCast_addproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Int.ceil_ofNat_addproof · cited by 0
- Int.ceil_one_addproof · cited by 0