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Proof step 122 from proof compat-addobj (previous step)

st[r0 -- _type] = typeval(mkclasstype(class0)), r0 -- mkfs(class1, ty, fieldvar) ' ∈ st, class+∃(str, class0), is_predefined_class(class), newref(r, st), compatmode(str, st), compatstatic(str, st), r0 -- _type ∈ st, r0 ∈ st, mkfs(class1, ty, fieldvar) ' ∈ instfields(class0), compat(str, st[r0 -- mkfs(class1, ty, fieldvar) '], ty, st) ⊦ r = jvmref, r0 = jvmref, compat(str, st[r0 -- mkfs(class1, ty, fieldvar) '], ty, addobj(r, class, [], st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 118:
⊦ 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 121:
st[r0 -- _type] = typeval(mkclasstype(class0)), r0 -- mkfs(class1, ty, fieldvar) ' ∈ st, class+∃(str, class0), is_predefined_class(class), newref(r, st), compatmode(str, st), compatstatic(str, st), r0 -- _type ∈ st, r0 ∈ st, mkfs(class1, ty, fieldvar) ' ∈ instfields(class0), compat(str, st[r0 -- mkfs(class1, ty, fieldvar) '], ty, st) ⊦ r = jvmref, r0 = jvmref, okval(st[r0 -- mkfs(class1, ty, fieldvar) '], ty) ∧ ( is_referencevalue(st[r0 -- mkfs(class1, ty, fieldvar) ']) ∧ st[r0 -- mkfs(class1, ty, fieldvar) '] .refval ≠ jvmref → st[r0 -- mkfs(class1, ty, fieldvar) '] .refval -- _type ∈ addobj(r, class, [], st) ∧ is_typevalue(addobj(r, class, [], st)[st[r0 -- mkfs(class1, ty, fieldvar) '] .refval -- _type]) ∧ is_reftype((addobj(r, class, [], st)[st[r0 -- mkfs(class1, ty, fieldvar) '] .refval -- _type]) .type) ∧ ( has_classtype((addobj(r, class, [], st)[st[r0 -- mkfs(class1, ty, fieldvar) '] .refval -- _type]) .type) → tdname+∃(str, (addobj(r, class, [], st)[st[r0 -- mkfs(class1, ty, fieldvar) '] .refval -- _type]) .type .jtelemtype .class)) ∧ ( is_classtype((addobj(r, class, [], st)[st[r0 -- mkfs(class1, ty, fieldvar) '] .refval -- _type]) .type) → class+∃(str, (addobj(r, class, [], st)[st[r0 -- mkfs(class1, ty, fieldvar) '] .refval -- _type]) .type .class)) ∧ asgcomp(str, st[r0 -- mkfs(class1, ty, fieldvar) '], ty, addobj(r, class, [], st)))

Rule argument

[crewrite-arg: value-compat , F , [st, ty, val, str] → [addobj(r, class, [], st), ty, st[r0 -- mkfs(class1, ty, fieldvar) '], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r, class, [], st), ty, st[r0 -- mkfs(class1, ty, fieldvar) '], str)]]