Theorems · Theorem · field theory
Rat.smul_def
∀ {K : Type u_1} [inst : DivisionRing K] (a : ℚ) (x : K), a • x = ↑a * x- Defined in
- Mathlib.Algebra.Field.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- DivisionRing.qsmul_defproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Rat.smul_one_eq_castproof · cited by 3
- niven_angle_div_pi_eqproof · cited by 1
- SubfieldClass.qsmul_memproof · cited by 0
- Complex.ofReal_qsmulproof · cited by 0