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Proof step 54 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)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ st[rkvs + rkvs0] = (st[rkvs][rkvs0])
Proof step 53:
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)

Rule argument

[speclemmaarg: ,st[rkvs + rkvs0] = (st[rkvs][rkvs0]) ,[rkvs0, rkvs, st] → [rkvs0, ((jvmref -- mkfs(class, ty, fieldvar) ') × val) ', st[rkvs1]] ,F ,storefuns , ,put-rkvs-append ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (rkvs0, ((jvmref -- mkfs(class, ty, fieldvar) ') × val) ', st[rkvs1])]]