Theorems · Theorem · number theory
Num.cast_mul
∀ {α : Type u_1} [inst : NonAssocSemiring α] (m n : Num), ↑(m * n) = ↑m * ↑n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- NonAssocSemiringstatement and proof · cited by 805
- PosNumproof · cited by 171
- Numstatement and proof · cited by 117
- castNumstatement and proof · cited by 72
- PosNum.cast_mulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Num.gcd_to_natproof · cited by 1