[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 25 from proof harness-2 (previous step)

x = 2 ' + 2 ', to6 = fail ⊦ 〈build_rec#(3; x, to6)〉〈if to6 = fail then to := fail else to := some(Node(Leaf, to6 .t))〉〈to3 := to, x1 := x ; if to3 = fail then to := fail else { to6 := fail ; build_rec#(2; x1, to6) ; if to6 = fail then to := fail else to := some(Node(to3 .t, to6 .t)) }〉〈to5 := to ; if to5 = fail then to0 := fail else to0 := some(Node(Leaf, to5 .t))〉〈to1 := to0 ; if x1 ≠ [] then to1 := fail〉 to1 = fail

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 7:
⊦
Proof step 24:
x = 2 ' + 2 ', to6 = fail ⊦ 〈x0 := x, d := 3〉〈if is_empty(x0) then to := fail else let h = head(x0) in if h < d then to := fail else if h = d then { x0 := pop(x0) ; to := some(Leaf) } else let to0 = fail, to1 = fail in { build_rec#(d + 1; x0, to0) ; if to0 = fail then to := fail else { build_rec#(d + 1; x0, to1) ; if to1 = fail then to := fail else to := some(Node(to0 .t, to1 .t)) } }〉〈to6 := to ; if to6 = fail then to := fail else to := some(Node(Leaf, to6 .t))〉〈to3 := to, x1 := x0 ; if to3 = fail then to := fail else { to6 := fail ; build_rec#(2; x1, to6) ; if to6 = fail then to := fail else to := some(Node(to3 .t, to6 .t)) }〉〈to5 := to ; if to5 = fail then to0 := fail else to0 := some(Node(Leaf, to5 .t))〉〈to1 := to0 ; if x1 ≠ [] then to1 := fail〉 to1 = fail

Rule argument

[fmapos-arg: pos: right 1]

Additional information

[[CONCRETESIMPRULES : ()]]