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Proof step 53 from proof validstatfield-putrkvs (previous step)

mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[jvmref -- mkfs(class, ty, fieldvar) '], ty), type∃(str, ty), jvmref ∈ st, validvals(str, rkvs1, st), validval(str, jvmref -- mkfs(class, ty, fieldvar) ', val, st), validvals(str, rkvs0, st), is_reftype(ty) → validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ ty = void_type, jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs0, ( is_reftype(ty) → validrefval (str, st[rkvs1][((jvmref -- mkfs(class, ty, fieldvar) ') × val) '][rkvs0][jvmref -- mkfs(class, ty, fieldvar) '], ty, st[rkvs1][((jvmref -- mkfs(class, ty, fieldvar) ') × val) '][rkvs0])) ∧ okval(st[rkvs1][((jvmref -- mkfs(class, ty, fieldvar) ') × val) '][rkvs0][jvmref -- mkfs(class, ty, fieldvar) '], ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 52:
mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[jvmref -- mkfs(class, ty, fieldvar) '], ty), type∃(str, ty), jvmref ∈ st, validvals(str, rkvs1, st), validval(str, jvmref -- mkfs(class, ty, fieldvar) ', val, st), validvals(str, rkvs0, st), is_reftype(ty) → validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ ty = void_type, jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs0, (is_reftype(ty) → validrefval(str, val, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val][rkvs0])) ∧ okval(val, ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[rk, val][rk]) = val], [CSIMPSEQ : ⊦ ¬ rk ∈ rkvs → (st[rkvs][rk]) = st[rk]], [CSIMPSEQ : ⊦ st[(rk × val) '] = st[rk, val]])]]