def AP.double_le

bend-osdev-array@0.1.0.1 · PROOF.bend:778

import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
import Base

778def AP.double_le(+x: Nat, +y: Nat, h: {Nat.is_le(x, y) == True{} : Bool}) -> {Nat.is_le(Nat.double(x), Nat.double(y)) == True{} : Bool}:
779  %Equal.sym(Cmp, Nat.cmp(AP.bv(False{}, x), AP.bv(False{}, y)), Word.cmp.fin(False{}, False{}, Nat.cmp(x, y)), AP.nc(x, y, False{}, False{})) : {Cmp.is_le(_) == True{} : Bool}
780  %Equal.sym(Bool, Cmp.is_le(Word.cmp.fin(False{}, False{}, Nat.cmp(x, y))), Cmp.is_le(Nat.cmp(x, y)), AP.fin_le_ff(Nat.cmp(x, y))) : {_ == True{} : Bool}
781  h

Uses (12)

Used by (1)