Theorems · Theorem · number theory
Rat.ceil_cast
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] [inst_3 : FloorRing α] (x : ℚ),
⌈↑x⌉ = ⌈x⌉- Defined in
- Mathlib.Data.Rat.Floor
- Cited by
- 2 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.
Cites10
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.ceilstatement and proof · cited by 138
- neg_injproof · cited by 85
- Rat.cast_negproof · cited by 25
- Rat.floor_castproof · cited by 8
- Int.floor_negproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Rat.isInt_intCeil_ofIsRat_negproof · cited by 0
- Rat.isNat_intCeil_ofIsNNRatproof · cited by 0