Theorems · Theorem · number theory
PosNum.mul_to_nat
∀ (m n : PosNum), ↑(m * n) = ↑m * ↑n
- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumstatement and proof · cited by 171
- castPosNumstatement · cited by 74
- PosNum.brecOnproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- PosNum.cast_mulproof · cited by 2
- Num.mul_to_natproof · cited by 1