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Proof step 99 from proof compat-put (previous step)

st[r0 -- _type] = typeval(mkclasstype(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 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, ∀ sk. sk ∈ instfields(class0) → r0 -- sk ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ is_fskey(sk) ∧ compat(str, st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- sk], sk .fs .type, st[r -- mkfs(class, ty, fieldvar) ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 98:
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 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, (r0 = r ∧ sk = mkfs(class, ty, fieldvar) ' ∨ r0 -- sk ∈ st) ∧ ¬ is_indexkey(sk) ∧ compat(str, st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- sk], sk .fs .type, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]