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Proof step 9 from proof ADD-preserves-INV-INVR (conclusion)

INV(C, N, V, n, source), v ∈ C, INVR(C, N, V, n, n0, source, dest), v ≠ dest ⊦ ⟪ADD(succ(v); V, N)⟫ (INV(C -- v, N, V, n, source) ∧ INVR(C -- v, N, V, n, n0, source, dest))

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
INV(C, N, V, n, source), v ∈ C ⊦ ⟪ADD(succ(v); V, N)⟫ INV(C -- v, N, V, n, source)
Proof step 8:
⟪ADD(succ(v); V, N)⟫ INV(C -- v, N, V, n, source), INV(C, N, V, n, source), v ∈ C, INVR(C, N, V, n, n0, source, dest), v ≠ dest ⊦ ⟪ADD(succ(v); V, N)⟫ (INV(C -- v, N, V, n, source) ∧ INVR(C -- v, N, V, n, n0, source, dest))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: ADD-preserves-INV antecedent: INV(C, N, V, n, source), v ∈ C succedent: ⟪ADD(succ(v); V, N)⟫ INV(C -- v, N, V, n, source) substlist: [C, N, V, n, source, v] → [C, N, V, n, source, v] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (C, N, V, n, source, v)]]