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Proof step 5 from proof validrefs-put-notin-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ r -- fs ' ∈ st ∧ oktype(st[r -- fs '], fs .type, st) ∧ oktype(val, fs .type, st) ∧ fs ' ≠ _length ∧ fs ' ≠ _type → (is_valid_ref(str, r, st[r -- fs ', val]) ↔ is_valid_ref(str, r, st))

Rule argument

[speclemmaarg: , r -- fs ' ∈ st ∧ oktype(st[r -- fs '], fs .type, st) ∧ oktype(val, fs .type, st) ∧ fs ' ≠ _length ∧ fs ' ≠ _type → ( is_valid_ref(str, r, st[r -- fs ', val]) ↔ is_valid_ref(str, r, st)) ,[val, fs, st, r, str] → [val, mkfs(class, ty0, fieldvar), st, r0, str] ,F ,addfuns , ,is_valid_ref-put-samefield ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ oktype(val, ty, st) ↔ okval(val, ty)])], [EXTRATERMS : (val, mkfs(class, ty0, fieldvar), st, r0, str)]]