Theorems · Theorem · order theory
Int.fract_add_floor
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] (a : R), Int.fract a + ↑⌊a⌋ = a- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- 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
- sub_add_cancelproof · cited by 344
- Int.floorstatement and proof · cited by 225
- Int.fractstatement · cited by 114
Cited by3
Results whose statement or proof uses this declaration.
- round_leproof · cited by 3
- Int.fract_div_mul_self_add_zsmul_eqproof · cited by 2
- GenContFract.compExactValue_correctness_of_stream_eq_someproof · cited by 2