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Proof step 7 from proof validrefs-put-notin-02 (previous step)

okval(val, ty0), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, r0 = jvmref, is_valid_ref(str, r0, st[r -- mkfs(class, ty0, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r ≠ r0 → (is_valid_ref(str, r0, st[r -- sk, val]) ↔ is_valid_ref(str, r0, st))
Proof step 6:
¬ r ≠ r0, okval(val, ty0), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, r0 = jvmref, is_valid_ref(str, r0, st[r -- mkfs(class, ty0, fieldvar) ', val])

Rule argument

[speclemmaarg: , r ≠ r0 → ( is_valid_ref(str, r0, st[r -- sk, val]) ↔ is_valid_ref(str, r0, st)) ,[val, sk, r, st, r0, str] → [val, mkfs(class, ty0, fieldvar) ', r, st, r0, str] ,F ,addfuns , ,is_valid_ref-put-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, mkfs(class, ty0, fieldvar) ', r, st, r0, str)]]