Theorems · Theorem · number theory
GenContFract.IntFractPair.coe_of_rat_eq
∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [inst_2 : FloorRing K] [IsStrictOrderedRing K] {v : K}
{q : ℚ},
v = ↑q → GenContFract.IntFractPair.mapFr Rat.cast (GenContFract.IntFractPair.of q) = GenContFract.IntFractPair.of v- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Fieldstatement and proof · cited by 7,404
- IsStrictOrderedRingstatement and proof · cited by 2,490
- FloorRingstatement and proof · cited by 405
- Int.floorproof · cited by 225
- Int.fractproof · cited by 114
- GenContFract.IntFractPairstatement · cited by 45
- GenContFract.IntFractPair.ofstatement · cited by 22
- Rat.floor_castproof · cited by 8
- GenContFract.IntFractPair.mapFrstatement · cited by 4
- Rat.cast_fractproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- GenContFract.IntFractPair.coe_stream_nth_rat_eqproof · cited by 1