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Proof step 104 from proof compat-put (previous step)

st[r0 -- _type] = typeval(mkclasstype(class0)), class+∃(str, class0), compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, compatobj(str, r0, st) ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, compatobj(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 72:
⊦ compatobj(str, r, st) ↔ is_classtype(st[r -- _type] .type) ∧ class+∃(str, st[r -- _type] .type .class) ∧ compatfields(str, r, instfields(st[r -- _type] .type .class), st)
Proof step 103:
st[r0 -- _type] = typeval(mkclasstype(class0)), class+∃(str, class0), compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, compatobj(str, r0, st) ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, 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) ∧ compatfields(str, r0, instfields((st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- _type]) .type .class), st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[crewrite-arg: obj-compat , F , [st, r, str] → [st[r -- mkfs(class, ty, fieldvar) ', val], r0, str] ]

Additional information

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