Theorems · Theorem · order theory
Int.fract_div_intCast_eq_div_intCast_mod
∀ {k : Type u_4} [inst : Field k] [inst_1 : LinearOrder k] [IsOrderedRing k] [inst_3 : FloorRing k] {m : ℤ} {n : ℕ},
Int.fract (↑m / ↑n) = ↑(m % ↑n) / ↑n- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
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
- PartialOrderproof · cited by 6,410
- Nat.cast_zeroproof · cited by 1,870
- add_commproof · cited by 1,535
- LT.lt.ne'proof · cited by 1,417
- sub_eq_add_negproof · cited by 1,023
- IsOrderedRingstatement and proof · cited by 777
- AddLeftMonoproof · cited by 687
- neg_zeroproof · cited by 542
- FloorRingstatement and proof · cited by 405
- Int.cast_natCastproof · cited by 393
Cited by1
Results whose statement or proof uses this declaration.
- Rat.isRat_intFract_of_isRat_negOfNatproof · cited by 0