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Proof step 15 from proof isobj-put-samefield-01 (previous step)

st[r -- _type] = typeval(mkclasstype(class)), ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, st[r -- mkfs(class0, ty, fieldvar) ', val]), r -- mkfs(class0, ty, fieldvar) ' ∈ st, okval(st[r -- mkfs(class0, ty, fieldvar) '], ty), okval(val, ty), r ∈ st, r -- _type ∈ st ⊦ mkfs(class0, ty, fieldvar) ' = _type, r = jvmref, ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
st[r -- _type] = typeval(mkclasstype(class)), sk ∈ instfields(class), r -- mkfs(class0, ty, fieldvar) ' ∈ st, okval(st[r -- mkfs(class0, ty, fieldvar) '], ty), okval(val, ty), r ∈ st, r -- _type ∈ st, is_indexkey(sk) ∨ ¬ r -- sk ∈ st ∨ ¬ okval(st[r -- sk], sk .fs .type), ∀ sk0. sk0 ∈ instfields(class) → is_fskey(sk0) ∧ r -- sk0 ∈ st[r -- mkfs(class0, ty, fieldvar) ', val] ∧ okval(st[r -- mkfs(class0, ty, fieldvar) ', val][r -- sk0], sk0 .fs .type) ⊦ mkfs(class0, ty, fieldvar) ' = _type, r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ goodfieldandtype(r, sk, st) ↔ ¬ ¬ ( is_fskey(sk) ∧ r -- sk ∈ st ∧ okval (st[r -- sk], sk .fs .type))])]]