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Proof step 12 from proof compat-put (previous step)

_mode ∈ st, compatstatic(str, st), compatrefs(str, st), compat(str, val, ty, st), is_throw_mode(st[_mode]), compat(str, refval(st[_mode] .refval), st[_mode] .type, st), is_subtype(str, st[_mode] .type, mkclasstype(`java.lang.Throwable' .class)) ⊦ st[_mode] = return(noval, void_type), st[_mode] = noval, mkfs(class, ty, fieldvar) ' = _length, ty = void_type, st[_mode] .refval = jvmref, compat(str, st[_mode] .val, st[_mode] .type, st), compat(str, refval(st[_mode] .refval), st[_mode] .type, st[r -- mkfs(class, ty, fieldvar) ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
st[_mode] = throw(r0, ty0), _mode ∈ st, compatstatic(str, st), compatrefs(str, st), compat(str, val, ty, st), is_throw_mode(st[_mode]), compat(str, refval(r0), ty0, st), is_subtype(str, ty0, mkclasstype(`java.lang.Throwable' .class)) ⊦ st[_mode] = return(noval, void_type), st[_mode] = noval, mkfs(class, ty, fieldvar) ' = _length, ty = void_type, r0 = jvmref, compat(str, st[_mode] .val, ty0, st), compat(str, refval(r0), ty0, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[speclemmaarg: , is_throw_mode(val) → (r = val .refval ∧ ty = val .type ↔ val = throw(r, ty)) ,[val, r, ty] → [st[_mode], r0, ty0] ,T ,javavalue , ,elim-12 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_throw_mode(val) → ( r = val .refval ∧ ty = val .type ↔ val = throw(r, ty))])], [EXTRATERMS : (st[_mode], r0, ty0)]]