Theorems · Theorem · order theory
Int.natCast_mul_floor_div_cancel
∀ {R : Type u_4} [inst : Ring R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorRing R] {n : ℕ},
n ≠ 0 → ∀ (a : R), ⌊↑n * a⌋ / ↑n = ⌊a⌋- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- IsStrictOrderedRingstatement and proof · cited by 2,490
- FloorRingstatement and proof · cited by 405
- Int.floorstatement and proof · cited by 225
- Nat.cast_commproof · cited by 16
- Int.mul_natCast_floor_div_cancelproof · cited by 1
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