Theorems · Theorem · order theory
Int.floor_pos
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] {a : R}, 0 < ⌊a⌋ ↔ 1 ≤ a- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext
- Assumes
- RingLinearOrderFloorRing
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
- zero_addproof · cited by 2,366
- FloorRingstatement and proof · cited by 405
- Int.cast_oneproof · cited by 371
- Int.floorstatement and proof · cited by 225
- Int.le_floorproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- beattySeq_symmDiff_beattySeq'_posproof · cited by 1