Notation perm_eql s1 s2 := (perm_eq s1 =1 perm_eq s2).Notation perm_eqr s1 s2 := (perm_eq^~ s1 =1 perm_eq^~ s2).

Lemma perm_eqlP s1 s2 : reflect (perm_eql s1 s2) (perm_eq s1 s2).