Theorems · Definition · order theory
FloorRing.floor
{α : Type u_4} → {inst : Ring α} → {inst_1 : LinearOrder α} → [self : FloorRing α] → α → ℤFloorRing.floor a computes the greatest integer z such that (z : α) ≤ a.
- Defined in
- Mathlib.Algebra.Order.Floor.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- FloorRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- FloorRingstatement and proof · cited by 405
Cited by4
Results whose statement or proof uses this declaration.
- Int.floorproof · cited by 225
- FloorRing.gc_coe_floorstatement · cited by 2
- subsingleton_floorRingproof · cited by 0
- Int.floorRing_floor_eqstatement · cited by 0