Theorems · Theorem · field theory
Rat.cast_mkRat_of_ne_zero
∀ {α : Type u_3} [inst : DivisionRing α] (a : ℤ) {b : ℕ}, ↑b ≠ 0 → ↑(mkRat a b) = ↑a / ↑b- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivisionRingstatement and proof · cited by 1,062
- Int.cast_natCastproof · cited by 393
- Rat.cast_divInt_of_ne_zeroproof · cited by 5
- Rat.mkRat_eq_divIntproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Rat.cast_add_of_ne_zeroproof · cited by 2
- Rat.cast_mul_of_ne_zeroproof · cited by 1