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Proof step 123 from proof compat-put (previous step)

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) ⊦ is_arraytype(ty0) ∧ (¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .type .jtelemtype .class)) → compatarray(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val]), r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 122:
st[r0 -- _type] = typeval(ty0), is_arraytype(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, ¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .type .jtelemtype .class), ¬ 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, compatarray(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(ty) → ¬ is_classtype(ty)])]]