Theorems · Theorem · number theory
Rat.round_cast
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] [inst_3 : FloorRing α] (x : ℚ),
round ↑x = round x- Defined in
- Mathlib.Data.Rat.Floor
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- one_divproof · cited by 624
- FloorRingstatement and proof · cited by 405
- Int.floorproof · cited by 225
- roundstatement and proof · cited by 49
- Rat.cast_invproof · cited by 22
- Rat.cast_ofNatproof · cited by 19
- Rat.cast_addproof · cited by 19
- Rat.floor_castproof · cited by 8
- round_eqproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- GaussianInt.toComplex_re_divproof · cited by 1
- GaussianInt.toComplex_im_divproof · cited by 1
- Rat.IsRat.isInt_roundproof · cited by 0