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Proof step 132 from proof compat-put (previous step)

compat(str, val, ty, st), compatrefs(str, st), compatstatic(str, st), compatmode(str, st) ⊦ compatrefs(str, st[r -- mkfs(class, ty, fieldvar) ', val]), ty = void_type, mkfs(class, ty, fieldvar) ' = _length

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 70:
⊦ compatrefs(str, st) ↔ (∀ r. r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) → (is_classtype(st[r -- _type] .type) ∧ class+∃(str, st[r -- _type] .type .class) → compatobj(str, r, st)) ∧ ( is_arraytype(st[r -- _type] .type) ∧ (¬ has_classtype(st[r -- _type] .type) ∨ tdname+∃(str, st[r -- _type] .type .jtelemtype .class)) → compatarray(str, r, st)))
Proof step 131:
compat(str, val, ty, st), compatrefs(str, st), compatstatic(str, st), compatmode(str, st) ⊦ ∀ r0. r0 ≠ jvmref ∧ r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ is_typevalue(st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- _type]) → ( is_classtype((st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- _type]) .type) ∧ class+∃(str, (st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- _type]) .type .class) → compatobj(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val])) ∧ ( is_arraytype((st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- _type]) .type) ∧ ( ¬ has_classtype((st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- _type]) .type) ∨ tdname+∃(str, (st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- _type]) .type .jtelemtype .class)) → compatarray(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val])), ty = void_type, mkfs(class, ty, fieldvar) ' = _length

Rule argument

[crewrite-arg: refs-compat , F , [st, str] → [st[r -- mkfs(class, ty, fieldvar) ', val], str] ]

Additional information

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