Theorems · Theorem · field theory
Rat.cast_eq_zero
∀ {α : Type u_3} [inst : DivisionRing α] [CharZero α] {p : ℚ}, ↑p = 0 ↔ p = 0- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingCharZero
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
- CharZerostatement and proof · cited by 932
- Rat.cast_zeroproof · cited by 29
- Rat.cast_injectiveproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Rat.cast_ne_zeroproof · cited by 3
- NumberField.mixedEmbedding.norm_eq_zero_iff'proof · cited by 1