Theorems · Theorem · number theory
Num.cmp_swap
∀ (m n : Num), (m.cmp n).swap = n.cmp m
- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumproof · cited by 171
- Numstatement and proof · cited by 117
- Num.casesOnproof · cited by 20
- Num.cmpstatement and proof · cited by 6
- PosNum.cmp_swapproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Num.le_iff_cmpproof · cited by 0