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Proof step 2 from proof ADD-preserves-INV (previous step)

⟪ADD(succ(v); V, N)⟫ (N = N0 ∪ (succ(v) \ V0) ∧ V = V0 ∪ succ(v)), INV(C, N, V, n, source), v ∈ C, V0 = V, N0 = N ⊦ ⟪ADD(succ(v); V, N)⟫ INV(C -- v, N, V, n, source)

Heuristic contract and execute applied rule execute call

And closed the goal!

Rule argument

[fmaposlist-arg: (pos: left 1, pos: right 1)]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ INV(C, N, V, n, source) ∧ v ∈ C → ( ¬ INV (C -- v, N ∪ (succ(v) \ V), V ∪ succ(v), n, source) ↔ false)], [CSIMPSEQ : ⊦ (s ∪ s0) ∪ s1 = s ∪ s0 ∪ s1], [CSIMPSEQ : ⊦ s ∪ s0 = s0 ∪ s])]]