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Proof step 5 from proof unchNorec-validrefs-pathex (previous step)

validrefs(str, r1 ' + refs0, ty, st), ∀ r. r = r1 ∨ r ∈ refs0 → unchangedNorec(r, st, st0) ⊦ r1 = jvmref, is_valid_ref(str, r1, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 4:
¬ (r1 ≠ jvmref ∧ (¬ is_valid_ref(str, r1, st) ∨ ¬ st[r1 -- _type] .type ≤ ty)), validrefs(str, r1 ' + refs0, ty, st), ∀ r. r = r1 ∨ r ∈ refs0 → unchangedNorec(r, st, st0) ⊦ r1 = jvmref, is_valid_ref(str, r1, st0)

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: validrefs-is-junk antecedent: succedent: r ≠ jvmref ∧ ( ¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st) substlist: [st, ty, refs, r, str] → [st, ty, refs0, r1, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, refs0, r1, str)]]