Theorems · Theorem · order theory
Int.floor_le_floor
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] {a b : R}, a ≤ b → ⌊a⌋ ≤ ⌊b⌋- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
- Assumes
- RingLinearOrderFloorRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Int.floorstatement · cited by 225
- Int.floor_monoproof · cited by 5
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