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Proof step 57 from proof challenge3a (previous step)

ar[m] = ar[n], m ≠ n, n < # ar, m < # ar, bv0 ↔ false, m2 = 0 ⊦ ⦉n := n0, m := m0, ar0 := ar⦊ ⦉while m2 < # ar0 ∧ ¬ bv0 do { let n1 = m2 + 1 in while n1 < # ar0 ∧ ¬ bv0 do if ar0[m2] = ar0[n1] then m := m2, n := n1, bv0 := true else n1 := n1 + 1 ; m2 := m2 + 1 }⦊ (ar[m] = ar[n] ∧ m ≠ n ∧ m < # ar ∧ n < # ar)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 56:
ar[m] = ar[n], m ≠ n, n < # ar, m < # ar, bv0 ↔ false, m2 = 0, n2 = n0 ∧ m1 = m0 ∧ ar1 = ar ⊦ ⦉while m2 < # ar1 ∧ ¬ bv0 do { let n1 = m2 + 1 in while n1 < # ar1 ∧ ¬ bv0 do if ar1[m2] = ar1[n1] then m1 := m2, n2 := n1, bv0 := true else n1 := n1 + 1 ; m2 := m2 + 1 }⦊ (ar[m1] = ar[n2] ∧ m1 ≠ n2 ∧ m1 < # ar ∧ n2 < # ar)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]