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Proof step 18 from proof compat-addclass (previous step)

fis .keys = statfields(class), okfieldinits(class, fis), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, compatmode(str, st[_mode], st) ⊦ st[_mode] = return(noval, void_type), st[_mode] = noval, is_break_mode(st[_mode]), mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ fis, is_throw_mode(st[_mode]) ∧ st[_mode] .refval ≠ jvmref ∧ compat(str, refval(st[_mode] .refval), st[_mode] .type, addclass(class, fis, st)) ∧ is_subtype(str, st[_mode] .type, mkclasstype(`java.lang.Throwable' .class)), is_return_mode(st[_mode]) ∧ compat(str, st[_mode] .val, st[_mode] .type, addclass(class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ compatmode(str, val, st) ↔ val = noval ∨ is_break_mode(val) ∨ val = return(noval, void_type) ∨ is_return_mode(val) ∧ compat(str, val .val, val .type, st) ∨ is_throw_mode(val) ∧ val .refval ≠ jvmref ∧ compat(str, refval(val .refval), val .type, st) ∧ is_subtype(str, val .type, mkclasstype(`java.lang.Throwable' .class))
Proof step 17:
fis .keys = statfields(class), okfieldinits(class, fis), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, st[_mode] = noval ∨ is_break_mode(st[_mode]) ∨ st[_mode] = return(noval, void_type) ∨ is_return_mode(st[_mode]) ∧ compat(str, st[_mode] .val, st[_mode] .type, st) ∨ is_throw_mode(st[_mode]) ∧ st[_mode] .refval ≠ jvmref ∧ 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, is_break_mode(st[_mode]), mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ fis, is_throw_mode(st[_mode]) ∧ st[_mode] .refval ≠ jvmref ∧ compat(str, refval(st[_mode] .refval), st[_mode] .type, addclass(class, fis, st)) ∧ is_subtype(str, st[_mode] .type, mkclasstype(`java.lang.Throwable' .class)), is_return_mode(st[_mode]) ∧ compat(str, st[_mode] .val, st[_mode] .type, addclass(class, fis, st))

Rule argument

[crewrite-arg: modeval-compat , F , [st, val, str] → [st, st[_mode], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[_mode], str)]]