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Proof step 130 from proof compat-put (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 129:
st[r0 -- _type] = typeval(ty0), compat(str, val, ty, st), compatrefs(str, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], is_typevalue(st[r0 -- _type]), r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, (is_classtype(ty0) ∧ class+∃(str, ty0 .class) → compatobj(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val])) ∧ ( is_arraytype(ty0) ∧ (¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .type .jtelemtype .class)) → compatarray(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val]))

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r0 -- _type], ty0] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r0 -- _type], ty0)]]