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Proof step 56 from proof unchanged-junkrefs (previous step)

junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ r ≠ jvmref ∧ st[r -- _type] ≠ st0[r -- _type] → ¬ unchangedNorec(r, st, st0)
Proof step 55:
¬ (r ≠ jvmref ∧ st[r -- _type] ≠ st1[r -- _type]), junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchNorec-type-intro antecedent: succedent: r ≠ jvmref ∧ st[r -- _type] ≠ st0[r -- _type] → ¬ unchangedNorec(r, st, st0) substlist: [st0, st, r] → [st1, st, r] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 4)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, st, r)]]