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Proof step 84 from proof compat-addobj (previous step)

okval(st[jvmref -- mkfs(class1, ty, fieldvar) '], ty) ∧ ( is_referencevalue(st[jvmref -- mkfs(class1, ty, fieldvar) ']) ∧ st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval ≠ jvmref → st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type ∈ st ∧ is_typevalue(st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type]) ∧ is_reftype(st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type) ∧ ( has_classtype(st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type) → tdname+∃(str, st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type .jtelemtype .class)) ∧ ( is_classtype(st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type) → class+∃(str, st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type .class)) ∧ asgcomp(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st)), jvmref ∈ st, mkfs(class1, ty, fieldvar) ' ∈ statfields(class0), compatrefs(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), initdone(class0, st), jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, is_referencevalue(st[jvmref -- mkfs(class1, ty, fieldvar) ']), ∀ 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) ⊦ compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st[r -- _type, typeval(mkclasstype(class))])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 83:
okval(st[jvmref -- mkfs(class1, ty, fieldvar) '], ty), jvmref ∈ st, mkfs(class1, ty, fieldvar) ' ∈ statfields(class0), compatrefs(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), initdone(class0, st), jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, is_referencevalue(st[jvmref -- mkfs(class1, ty, fieldvar) ']), ∀ 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), st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval ≠ jvmref → st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type ∈ st ∧ is_typevalue(st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type]) ∧ is_reftype(st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type) ∧ ( has_classtype(st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type) → tdname+∃(str, st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type .jtelemtype .class)) ∧ ( is_classtype(st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type) → class+∃(str, st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type .class)) ∧ is_subtype(str, st[st[jvmref -- mkfs(class1, ty, fieldvar) '] .refval -- _type] .type, ty) ⊦ compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st[r -- _type, typeval(mkclasstype(class))])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ asgcomp(str, val, ty, st) ↔ ¬ is_referencevalue(val) ∨ val .refval = jvmref ∨ is_subtype (str, st[val .refval -- _type] .type, ty)])]]