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Proof step 10 from proof unchanged-rec-generic (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class0), unchanged(str, r, st, st0), mkfs(class, ty, fieldvar) ' ∈ instfields(class0) ⊦ r = jvmref, junkref(str, r, st), unchanged(str, r0, st, st0), is_obj(str, r, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ ty ∧ is_valid_ref(str, r0, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st)
Proof step 9:
¬ (r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st)), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class0), unchanged(str, r, st, st0), mkfs(class, ty, fieldvar) ' ∈ instfields(class0) ⊦ r = jvmref, junkref(str, r, st), unchanged(str, r0, st, st0), is_obj(str, r, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ ty ∧ is_valid_ref(str, r0, st))

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: junkref-is-junk antecedent: succedent: r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st) substlist: [st, r, str] → [st, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

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