Theorems · Theorem · number theory
PosNum.cast_mul
∀ {α : Type u_1} [inst : NonAssocSemiring α] (m n : PosNum), ↑(m * n) = ↑m * ↑n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
- Assumes
- NonAssocSemiring
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.
- NonAssocSemiringstatement and proof · cited by 805
- Nat.cast_mulproof · cited by 309
- PosNumstatement and proof · cited by 171
- castPosNumstatement and proof · cited by 74
- PosNum.cast_to_natproof · cited by 15
- PosNum.mul_to_natproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ZNum.mul_to_intproof · cited by 2
- Num.cast_mulproof · cited by 1