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Proof step 125 from proof compat-put (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 124:
st[r0 -- _type] = typeval(ty0), 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, is_classtype(ty0) ∧ class+∃(str, ty0 .class) → compatobj(str, r0, st), is_arraytype(ty0) ∧ ( ¬ has_classtype(ty0) ∨ class∃(str, ty0 .type .jtelemtype .class) ∨ interface∃(str, ty0 .type .jtelemtype .class) ∨ is_predefined_class(ty0 .type .jtelemtype .class)) → compatarray(str, r0, st) ⊦ 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

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ noval ≠ typeval(ty)], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])]]