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Proof step 133 from proof unchanged-junkrefs-level (previous step)

level⊆(str, str0), unchanged(str0, r, st, st1), junkrefs(str, r ' + refs0, ty, st), ∀ str0, st, st1, str, ty. unchanged(str0, refs0 .first, st, st1) ∧ junkrefs(str, refs0, ty, st) ∧ level⊆(str, str0) → junkrefs(str, refs0, ty, st1) ⊦ junkrefs(str, r ' + refs0, ty, st1)

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) → junkrefs(str, r ' + refs, ty, st)
Proof step 132:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st1) ∨ ¬ st1[r -- _type] .type ≤ ty)), level⊆(str, str0), unchanged(str0, r, st, st1), junkrefs(str, r ' + refs0, ty, st), ∀ str0, st, st1, str, ty. unchanged(str0, refs0 .first, st, st1) ∧ junkrefs(str, refs0, ty, st) ∧ level⊆(str, str0) → junkrefs(str, refs0, ty, st1) ⊦ junkrefs(str, r ' + refs0, ty, st1)

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: junkrefs-is-junk antecedent: succedent: r ≠ jvmref ∧ ( ¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → junkrefs(str, r ' + refs, ty, st) substlist: [st, ty, refs, r, str] → [st1, ty, refs0, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, ty, refs0, r, str)]]