Theorems · Theorem · field theory
Rat.cast_neg
∀ {α : Type u_3} [inst : DivisionRing α] (q : ℚ), ↑(-q) = -↑q- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 45 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_negproof · cited by 224
- neg_divproof · cited by 161
- Rat.cast_defproof · cited by 20
Cited by25
Results whose statement or proof uses this declaration.
- Rat.cast_absproof · cited by 13
- Irrational.ratCast_addproof · cited by 6
- LiouvilleWith.add_rat_iffproof · cited by 4
- LiouvilleWith.sub_rat_iffproof · cited by 3
- bernoulliFun_eval_oneproof · cited by 3
- Irrational.of_negproof · cited by 3
- nivenproof · cited by 2
- Irrational.sub_ratCastproof · cited by 2
- Rat.ceil_castproof · cited by 2
- Real.mk_le_of_forall_leproof · cited by 2
- Rat.comap_cast_atBotproof · cited by 2
- Complex.isIntegral_exp_neg_rat_mul_pi_mul_Iproof · cited by 2