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Proof step 9 from proof validstatfield-union (previous step)

tdname∃(str, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), initdone(class, st0), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st0, okval(st0[jvmref -- mkfs(class, ty, fieldvar) '], ty), type∃(str, ty), jvmref ∈ st0, is_reftype(ty) → validrefval(str, st0[jvmref -- mkfs(class, ty, fieldvar) '], ty, st0) ⊦ ty = void_type, jvmref ∈ st, (is_reftype(ty) → validrefval(str, st0[jvmref -- mkfs(class, ty, fieldvar) '], ty, st ∪ st0)) ∧ is_fskey(mkfs(class, ty, fieldvar) ') ∧ jvmref -- mkfs(class, ty, fieldvar) ' ∈ st ∪ st0 ∧ okval((st ∪ st0)[jvmref -- mkfs(class, ty, fieldvar) '], mkfs(class, ty, fieldvar) ' .fs .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
type∃(str, ty), jvmref ∈ st0, is_reftype(ty), tdname∃(str, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), initdone(class, st0), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st0, is_referencevalue(st0[jvmref -- mkfs(class, ty, fieldvar) ']), validrefval(str, st0[jvmref -- mkfs(class, ty, fieldvar) '], ty, st0) ⊦ ty = void_type, jvmref ∈ st, validrefval(str, st0[jvmref -- mkfs(class, ty, fieldvar) '], ty, st ∪ st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : valuefuns, , okval-reftype, ⊦ is_reftype(ty) → ( okval(val, ty) ↔ is_referencevalue(val))], [CSIMPNAMEDSEQ : fieldspec, , sel-03, ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPNAMEDSEQ : storekey, , sel-05, ⊦ fs ' .fs = fs], [CSIMPNAMEDSEQ : storefunsx, , union-at-right-01, ⊦ rk ∈ st0 → (st ∪ st0)[rk] = st0[rk]], [CSIMPNAMEDSEQ : storefunsx, , union-in, ⊦ rk ∈ st ∪ st0 ↔ rk ∈ st ∨ rk ∈ st0], [CSIMPNAMEDSEQ : storekey, , test-05, ⊦ is_fskey(fs ')])]]