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Proof step 18 from proof compat-throw-02 (previous step)

compatmode(str, st), compatstatic(str, st), compatrefs(str, st), class ≤ `java.lang.Throwable' .class ⊦ r = jvmref, r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_reftype(st[r -- _type] .type) ∧ (has_classtype(st[r -- _type] .type) → tdname+∃(str, st[r -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[r -- _type] .type) → class+∃(str, st[r -- _type] .type .class)) ∧ asgcomp(str, refval(r), mkclasstype(class), st[_mode, throw(r, mkclasstype(class))]) ∧ tdname+∃(str, class) ↔ compat(str, refval(r), mkclasstype(class), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ compat(str, val, ty, st) ↔ okval(val, ty) ∧ ( is_referencevalue(val) ∧ val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ is_reftype(st[val .refval -- _type] .type) ∧ (has_classtype(st[val .refval -- _type] .type) → tdname+∃(str, st[val .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[val .refval -- _type] .type) → class+∃(str, st[val .refval -- _type] .type .class)) ∧ asgcomp(str, val, ty, st))
Proof step 17:
compatmode(str, st), compatstatic(str, st), compatrefs(str, st), class ≤ `java.lang.Throwable' .class ⊦ r = jvmref, r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_reftype(st[r -- _type] .type) ∧ (has_classtype(st[r -- _type] .type) → tdname+∃(str, st[r -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[r -- _type] .type) → class+∃(str, st[r -- _type] .type .class)) ∧ asgcomp(str, refval(r), mkclasstype(class), st[_mode, throw(r, mkclasstype(class))]) ∧ tdname+∃(str, class) ↔ okval(refval(r), mkclasstype(class)) ∧ ( is_referencevalue(refval(r)) ∧ refval(r) .refval ≠ jvmref → refval(r) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r) .refval -- _type]) ∧ is_reftype(st[refval(r) .refval -- _type] .type) ∧ (has_classtype(st[refval(r) .refval -- _type] .type) → tdname+∃(str, st[refval(r) .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[refval(r) .refval -- _type] .type) → class+∃(str, st[refval(r) .refval -- _type] .type .class)) ∧ asgcomp(str, refval(r), mkclasstype(class), st))

Rule argument

[crewrite-arg: value-compat , F , [st, ty, val, str] → [st, mkclasstype(class), refval(r), str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkclasstype(class), refval(r), str)]]