Theorems · Theorem · order theory
Mathlib.Meta.Positivity.int_floor_nonneg_of_pos
∀ {α : Type u_1} [inst : Ring α] [inst_1 : LinearOrder α] [inst_2 : FloorRing α] {a : α}, 0 < a → 0 ≤ ⌊a⌋- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext
- Assumes
- RingLinearOrderFloorRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- LT.lt.leproof · cited by 2,189
- FloorRingstatement and proof · cited by 405
- Int.floorstatement · cited by 225
- Mathlib.Meta.Positivity.int_floor_nonnegproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ZLattice.exists_finsetSum_norm_rpow_le_tsumproof · cited by 2