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Proof step 74 from proof compat-addclass (previous step)

fis .keys = statfields(class1), jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, initdone(class0, addclass(class1, fis, st)), okfieldinits(class1, fis), compatrefs(str, st), compatmode(str, st), initdone(class0, st), mkfs(class1, ty, fieldvar) ' ∈ statfields(class0), jvmref ∈ st, compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st), mkfs(class1, ty, fieldvar) ' ∈ fis, class∃(str, class0) ∨ interface∃(str, class0), ∀ sk. sk ∈ statfields(class0) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st) ⊦ class1 = class0, ty = void_type, compat(str, fis[mkfs(class1, ty, fieldvar) '], ty, addclass(class1, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 64:
⊦ fis .keys = statfields(class) ∧ okfieldinits(class, fis) ∧ compat(str, val, ty, st) → compat(str, val, ty, addclass(class, fis, st))
Proof step 73:
¬ (fis .keys = statfields(class1) ∧ okfieldinits(class1, fis) ∧ compat(str, fis[mkfs(class1, ty, fieldvar) '], ty, st)), fis .keys = statfields(class1), jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, initdone(class0, addclass(class1, fis, st)), okfieldinits(class1, fis), compatrefs(str, st), compatmode(str, st), initdone(class0, st), mkfs(class1, ty, fieldvar) ' ∈ statfields(class0), jvmref ∈ st, compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st), mkfs(class1, ty, fieldvar) ' ∈ fis, class∃(str, class0) ∨ interface∃(str, class0), ∀ sk. sk ∈ statfields(class0) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st) ⊦ class1 = class0, ty = void_type, compat(str, fis[mkfs(class1, ty, fieldvar) '], ty, addclass(class1, fis, st))

Rule argument

[crewrite-arg: compatval-addclass , F , [st, fis, class, ty, val, str] → [st, fis, class1, ty, fis[mkfs(class1, ty, fieldvar) '], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis, class1, ty, fis[mkfs(class1, ty, fieldvar) '], str)]]