Theorems · Theorem · order theory
Int.floor_mono
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R], Monotone Int.floor- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
- 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
- Monotonestatement · cited by 1,397
- FloorRingstatement and proof · cited by 405
- Int.floorstatement · cited by 225
- GaloisConnection.monotone_uproof · cited by 53
- Int.gc_coe_floorproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- tendsto_floor_atTopproof · cited by 1
- tendsto_floor_atBotproof · cited by 1
- CircleDeg1Lift.floor_map_map_zero_leproof · cited by 0
- CircleDeg1Lift.le_floor_map_map_zeroproof · cited by 0
- Int.floor_le_floorproof · cited by 0