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Proof step 68 from proof compat-addclass (previous step)

fis .keys = statfields(class1), mkfs(class1, ty, fieldvar) ' ∈ fis, compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st), jvmref ∈ st, mkfs(class1, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, st), compatmode(str, st), compatrefs(str, st), okfieldinits(class1, fis), initdone(class0, addclass(class1, fis, st)), jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, ∀ sk. sk ∈ statfields(class0) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st), class∃(str, class0) ∨ interface∃(str, class0) ⊦ ty = void_type, class1 = class0, compat(str, initial_value(ty), ty, st), compat(str, initial_value(ty), ty, addclass(class1, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 67:
⊦ 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))

Rule argument

[crewrite-arg: value-compat , F , [st, ty, val, str] → [st, ty, initial_value(ty), str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ okval(initial_value(ty), ty) ↔ ty ≠ abstract_type], [CSIMPSEQ : ⊦ is_referencevalue (initial_value(ty)) ↔ is_reftype(ty) ∨ ty = void_type], [CSIMPSEQ : ⊦ is_reftype(ty) → initial_value(ty) = refval(jvmref)], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ void_type ≠ abstract_type], [CSIMPSEQ : ⊦ ¬ mkfs (class0, abstract_type, fieldvar) ' ∈ statfields(class)], [CSIMPSEQ : class1 ≠ class2, class2 ≠ `java.lang.Object' .class ⊦ initdone (class1, addclass(class2, fis, st)) ↔ initdone(class1, st)])], [EXTRATERMS : (st, ty, initial_value(ty), str)]]