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Proof step 36 from proof validrefs-putbar (previous step)

¬ (is_obj(`docs2store', r, putByteArray(bytes, r1, i, st)) ∧ (putByteArray(bytes, r1, i, st)[r -- _type]) .type ≤ ty), okbytearray(r1, st), validrefs(`docs2store', r ' + acc, ty, putByteArray(bytes, r1, i, st)), is_valid_ref(`docs2store', r, putByteArray(bytes, r1, i, st)), st[r -- _type] .type ≤ ty, ∀ r1, st, ty, bytes, i. okbytearray(r1, st) ∧ validrefs(`docs2store', acc, ty, putByteArray(bytes, r1, i, st)) → validrefs(`docs2store', acc, ty, st) ⊦ r = jvmref, validrefs(`docs2store', r ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
st[r -- _type] .type ≤ ty, okbytearray(r1, st), validrefs(`docs2store', r ' + acc, ty, putByteArray(bytes, r1, i, st)), is_array(`docs2store', r, putByteArray(bytes, r1, i, st)), ∀ r1, st, ty, bytes, i. okbytearray(r1, st) ∧ validrefs(`docs2store', acc, ty, putByteArray(bytes, r1, i, st)) → validrefs(`docs2store', acc, ty, st) ⊦ r = jvmref, validrefs(`docs2store', r ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_array(str, r, st) → ¬ is_obj(str, r, st)], [CSIMPSEQ : ⊦ ¬ is_obj(str, r, st) → ( is_valid_ref(str, r, st) ↔ is_array(str, r, st))], [CSIMPSEQ : ⊦ (putByteArray(bytes, r, i, st) [r0 -- _type ] ) = st[r0 -- _type]], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]