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Proof step 5 from proof validref-nopathex-put (previous step)

⊦ is_valid_ref(str, r0, st) ∧ sk ≠ _type ∧ ¬ path∃(str, r, r0, st) → (r = jvmref ∨ (st[r0 -- sk, val][r -- _type]) .type ≤ ty ∧ ¬ junkref(str, r, st[r0 -- sk, val]) ↔ validref(str, r, ty, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validref(str, r, ty, st) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st)
Proof step 4:
⊦ is_valid_ref(str, r0, st) ∧ sk ≠ _type ∧ ¬ path∃(str, r, r0, st) → ( r = jvmref ∨ (st[r0 -- sk, val][r -- _type]) .type ≤ ty ∧ ¬ junkref(str, r, st[r0 -- sk, val]) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st))

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: validref-def antecedent: succedent: validref(str, r, ty, st) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st) substlist: [st, ty, r, str] → [st, ty, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 1, 1, 1)) dummy: () ]

Additional information

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