Theorems · Theorem · order theory
Int.gc_coe_floor
∀ {α : Type u_2} [inst : Ring α] [inst_1 : LinearOrder α] [inst_2 : FloorRing α], GaloisConnection Int.cast Int.floor- Defined in
- Mathlib.Algebra.Order.Floor.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 34 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
- FloorRingstatement and proof · cited by 405
- GaloisConnectionstatement · cited by 253
- Int.floorstatement · cited by 225
- FloorRing.gc_coe_floorproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Int.floor_leproof · cited by 30
- Int.le_floorproof · cited by 22
- Int.floor_monoproof · cited by 5