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Proof step 82 from proof compat-addclass (previous step)

fis .keys = statfields(class), jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, initdone(class0, addclass(class, fis, st)), okfieldinits(class, 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), 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) ⊦ class = class0, compat(str, addclass(class, fis, st)[jvmref -- mkfs(class1, ty, fieldvar) '], ty, addclass(class, fis, st))

User applied rule cut formula

And obtained the following new goals

Proof step 80:
class = class1, fis .keys = statfields(class), jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, initdone(class0, addclass(class, fis, st)), okfieldinits(class, 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), 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) ⊦ class = class0, compat(str, addclass(class, fis, st)[jvmref -- mkfs(class1, ty, fieldvar) '], ty, addclass(class, fis, st))
Proof step 81:
⊦ fis .keys = statfields(class) ∧ okfieldinits(class, fis) ∧ compat(str, val, ty, st) → compat(str, val, ty, addclass(class, fis, st))

Rule argument

[fma-arg: class = class1]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : class1 ≠ class2 ⊦ (addclass(class2, fis, st) [ jvmref -- mkfs(class1, ty, fieldvar) ' ] ) = st[ jvmref -- mkfs(class1, ty, fieldvar) ']], [CSIMPSEQ : class1 ≠ class2, class2 ≠ `java.lang.Object' .class ⊦ initdone (class1, addclass(class2, fis, st)) ↔ initdone(class1, st)])], [EXTRAFMAS : (class = class1)]]