Theorems · Theorem · number theory
ZNum.cmp_to_int
∀ (m n : ZNum), Ordering.casesOn (m.cmp n) (↑m < ↑n) (m = n) (↑n < ↑m)
- Defined in
- Mathlib.Data.Num.ZNum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- PosNumproof · cited by 171
- lt_transproof · cited by 165
- castPosNumproof · cited by 74
- ZNumstatement and proof · cited by 73
- castZNumstatement and proof · cited by 41
- neg_lt_zeroproof · cited by 36
- PosNum.cmpproof · cited by 9
- PosNum.cmp_to_natproof · cited by 4
- PosNum.cast_posproof · cited by 2
- ZNum.cmpstatement and proof · cited by 2
- ZNum.pos.injEqproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ZNum.lt_to_intproof · cited by 2