def wd.bool_eq
import bend-osdev-u32@0.1.0.0/PROOF_order.bend as PROOFOrderimport Base
171def wd.bool_eq(x: Bool, y: Bool, +e: {Bool.cmp(x, y) == EQ{} : Cmp}) -> {x == y : Bool}:
172 match x y:
173 case False{} False{}:
174 {==}
175 case False{} True{}:
176 Empty.absurd({False{} == True{} : Bool}, ab.lt_eq(e))
177 case True{} False{}:
178 Empty.absurd({True{} == False{} : Bool}, ab.gt_eq(e))
179 case True{} True{}:
180 {==}