Theorems · Theorem · number theory
round_natCast
∀ {α : Type u_2} [inst : Ring α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] [inst_3 : FloorRing α] (n : ℕ),
round ↑n = ↑n- Defined in
- Mathlib.Algebra.Order.Round
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 52 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
- Ringstatement and proof · cited by 7,463
- IsStrictOrderedRingstatement and proof · cited by 2,490
- MulZeroClass.mul_zeroproof · cited by 2,091
- FloorRingstatement and proof · cited by 405
- Int.floorproof · cited by 225
- Int.ceilproof · cited by 138
- roundstatement · cited by 49
- Int.floor_natCastproof · cited by 4
- Int.fract_natCastproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Rat.isNat_roundproof · cited by 0
- round_ofNatproof · cited by 0