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Proof step 60 from proof pop-corr (previous step)

buf .len = 1 + n→i(# x), a ' + x = tolist(buf, i→n(buf .len)), inv(buf), a2 = a0 ∧ ar0 = buf .data ∧ i0 = buf .first ⊦ 〈if 0 ≤ i0 ∧ i0 < n→i(# ar0) then a2 := ar0[i→n(i0)] else abort〉〈buf0 := buf .first:= ((buf .first + 1) % buf .size) ; buf0 := buf0 .len:= (buf0 .len - 1)〉 (inv(buf0) ∧ abs(buf0, x) ∧ a = a2)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Proof step 55:
buf .len = 1 + n→i(# x), a ' + x = tolist(buf, i→n(buf .len)), inv(buf), a2 = a0 ∧ ar0 = buf .data ∧ i0 = buf .first, 0 ≤ i0 ∧ i0 < n→i(# ar0) ⊦ 〈a2 := ar0[i→n(i0)]〉〈buf0 := buf .first:= ((buf .first + 1) % buf .size) ; buf0 := buf0 .len:= (buf0 .len - 1)〉 (inv(buf0) ∧ abs(buf0, x) ∧ a = a2)
Proof step 59:
buf .len = 1 + n→i(# x), a ' + x = tolist(buf, i→n(buf .len)), inv(buf), a2 = a0 ∧ ar0 = buf .data ∧ i0 = buf .first, ¬ (0 ≤ i0 ∧ i0 < n→i(# ar0)) ⊦ 〈abort〉〈buf0 := buf .first:= ((buf .first + 1) % buf .size) ; buf0 := buf0 .len:= (buf0 .len - 1)〉 (inv(buf0) ∧ abs(buf0, x) ∧ a = a2)

Rule argument

[fmapos-arg: pos: right 1]

Additional information

[[CONCRETESIMPRULES : ()]]