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Proof step 30 from proof validrefs-putbar (previous step)

is_array(`docs2store', r, st) ∧ st[r -- _type] .type ≤ ty, okbytearray(r1, st), is_array(`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), acc = [] ∨ 0 ≤ i0 ∧ i0 < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i0 ']) ∧ acc .first = st[r -- i0 '] .refval ∧ validrefs(`docs2store', acc, st[r -- _type] .type .type, putByteArray(bytes, r1, i, st)) ⊦ r = r1, r = jvmref, acc = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ acc .first = st[r -- i '] .refval ∧ validrefs(`docs2store', acc, st[r -- _type] .type .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
acc .first = st[r -- i0 '] .refval, is_array(`docs2store', r, st), okbytearray(r1, st), is_array(`docs2store', r, putByteArray(bytes, r1, i, st)), st[r -- _type] .type ≤ ty, i0 < st[r -- _length] .intval, is_referencevalue(st[r -- i0 ']), validrefs(`docs2store', acc, st[r -- _type] .type .type, putByteArray(bytes, r1, i, st)), 0 ≤ i0, 0 < st[r -- _length] .intval, ∀ r1, st, ty, bytes, i. okbytearray(r1, st) ∧ validrefs(`docs2store', acc, ty, putByteArray(bytes, r1, i, st)) → validrefs(`docs2store', acc, ty, st) ⊦ r = r1, r = jvmref, acc = [], ∃ i1. ¬ i1 < 0 ∧ ¬ st[r -- _length] .intval ≤ i1 ∧ is_referencevalue(st[r -- i1 ']) ∧ acc .first = st[r -- i1 '] .refval ∧ validrefs(`docs2store', acc, st[r -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]