def cmp.lt_ne
import bend-osdev-algo@0.1.0.0/PROOF.bend as PROOFimport Base
1000def cmp.lt_ne(c: Cmp, e: {Cmp.is_lt(c) == True{} : Bool}) -> {Cmp.is_eq(c) == False{} : Bool}:
1001 match c:
1002 case LT{}:
1003 {==}
1004 case EQ{}:
1005 Empty.absurd({True{} == False{} : Bool}, absurd.ft(e))
1006 case GT{}:
1007 Empty.absurd({False{} == False{} : Bool}, absurd.ft(e))