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Proof step 9 from proof validrefs-put-notin-01 (previous step)

okval(val, fs .type), r -- fs ' ∈ st, okval(st[r -- fs '], fs .type), r ∈ st, st[r0 -- _type] .type ≤ ty ⊦ r0 = jvmref, fs ' = _length, fs ' = _type, is_valid_ref(str, r0, st[r -- fs ', val]) ↔ is_valid_ref(str, r0, st)

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 8:
¬ r ≠ r0, okval(val, fs .type), r -- fs ' ∈ st, okval(st[r -- fs '], fs .type), r ∈ st, st[r0 -- _type] .type ≤ ty ⊦ r0 = jvmref, fs ' = _length, fs ' = _type, is_valid_ref(str, r0, st[r -- fs ', val]) ↔ is_valid_ref(str, r0, st)

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, fs ', r, st, r0, str] ,F ,addfuns , ,is_valid_ref-put-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, fs ', r, st, r0, str)]]