Theorems · Theorem · order theory
Int.fract_intCast
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (z : ℤ),
Int.fract ↑z = 0- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
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
- sub_selfproof · cited by 996
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- Int.fractstatement · cited by 114
- Int.floor_intCastproof · cited by 14
Cited by8
Results whose statement or proof uses this declaration.
- round_intCastproof · cited by 2
- GenContFract.convs'_succproof · cited by 1
- GenContFract.of_s_succproof · cited by 1
- GenContFract.IntFractPair.stream_succ_of_intproof · cited by 1
- ContinuousOn.comp_fract'proof · cited by 1
- Rat.isNat_intFract_of_isIntproof · cited by 0
- Real.convergent_of_intproof · cited by 0
- Int.fract_floorproof · cited by 0