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Proof step 5 from proof ADD-preserves-INV-INVR (previous step)

⟪V1 := V⟫ ⟪N1 := N⟫ ⟪ADD(succ(v); V, N)⟫ (N = N1 ∪ (succ(v) \ V1) ∧ V = V1 ∪ succ(v)), ⟪ADD(succ(v); V, N)⟫ INV(C -- v, N, V, n, source), 〈ADD(succ(v); V, N)〉 (V = S ∧ N = S0), C ≠ ∅, v ≠ dest, # C ≠ 0, INV(C -- v, S0, S, n, source), INVR(C, N, V, n, n0, source, dest), v ∈ C, INV(C, N, V, n, source), ¬ INVR(C -- v, S0, S, n, n0, source, dest) ⊦

Heuristic symbolic execution applied rule assign left

And obtained the following new goals

Proof step 4:
⟪N1 := N⟫ ⟪ADD(succ(v); V, N)⟫ (N = N1 ∪ (succ(v) \ V0) ∧ V = V0 ∪ succ(v)), ⟪ADD(succ(v); V, N)⟫ INV(C -- v, N, V, n, source), 〈ADD(succ(v); V, N)〉 (V = S ∧ N = S0), C ≠ ∅, v ≠ dest, # C ≠ 0, INV(C -- v, S0, S, n, source), INVR(C, N, V, n, n0, source, dest), v ∈ C, INV(C, N, V, n, source), ¬ INVR(C -- v, S0, S, n, n0, source, dest), V0 = V ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]