Theorems · Theorem · order theory
Int.floor_div_natCast
∀ {k : Type u_4} [inst : Field k] [inst_1 : LinearOrder k] [IsOrderedRing k] [inst_3 : FloorRing k] (a : k) (n : ℕ),
⌊a / ↑n⌋ = ⌊a⌋ / ↑n- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
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
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- Int.cast_natCastproof · cited by 393
- Int.floorstatement and proof · cited by 225
- Nat.cast_nonnegproof · cited by 109
- Int.floor_div_cast_of_nonnegproof · cited by 1
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