Theorems · Theorem · number theory
ZNum.mul_to_int
∀ (m n : ZNum), ↑(m * n) = ↑m * ↑n
- Defined in
- Mathlib.Data.Num.ZNum
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- PosNumproof · cited by 171
- castPosNumproof · cited by 74
- ZNumstatement and proof · cited by 73
- castZNumstatement and proof · cited by 41
- neg_mul_negproof · cited by 32
- neg_mul_eq_neg_mulproof · cited by 20
- neg_mul_eq_mul_negproof · cited by 15
- ZNum.casesOnproof · cited by 9
- PosNum.cast_mulproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ZNum.dvd_to_intproof · cited by 1
- ZNum.cast_mulproof · cited by 0