Theorems · Theorem · field theory
Rat.cast_sub
∀ {α : Type u_3} [inst : DivisionRing α] [CharZero α] (p q : ℚ), ↑(p - q) = ↑p - ↑q- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 75 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.ne'proof · cited by 1,417
- DivisionRingstatement and proof · cited by 1,062
- CharZerostatement and proof · cited by 932
- Nat.cast_ne_zeroproof · cited by 113
- Rat.posproof · cited by 17
- Rat.cast_sub_of_ne_zeroproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- SimpleGraph.not_isUniform_iffproof · cited by 5
- Rat.cast_strictMonoproof · cited by 5
- Real.exists_isLUBproof · cited by 3
- isCusp_SL2Z_iffproof · cited by 3
- Rel.abs_edgeDensity_sub_edgeDensity_le_two_mul_sub_sqproof · cited by 1
- niven_fract_angle_div_pi_eqproof · cited by 1
- Rat.cast_fractproof · cited by 1
- niven_sinproof · cited by 0
- Padic.coe_subproof · cited by 0