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Proof step 94 from proof compat-put (previous step)

sk .fs = mkfs(class1, ty0, fieldvar0), st[r0 -- _type] = typeval(mkclasstype(class0)), sk ∈ instfields(class0), compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, compatfields(str, r0, instfields(class0), st), class+∃(str, class0), r0 ≠ r ∨ sk ≠ mkfs(class, ty, fieldvar) ' ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, compat(str, st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- sk], ty0, st[r -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 86:
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]
Proof step 93:
r0 -- sk ≠ r -- mkfs(class, ty, fieldvar) ', sk .fs = mkfs(class1, ty0, fieldvar0), st[r0 -- _type] = typeval(mkclasstype(class0)), sk ∈ instfields(class0), compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, compatfields(str, r0, instfields(class0), st), class+∃(str, class0), r0 ≠ r ∨ sk ≠ mkfs(class, ty, fieldvar) ' ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, compat(str, st[r0 -- sk], ty0, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [r0 -- sk, val, r -- mkfs(class, ty, fieldvar) ', st] ,F ,store ,javastore ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRATERMS : (r0 -- sk, val, r -- mkfs(class, ty, fieldvar) ', st)]]