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Proof step 23 from proof okarray-copy (previous step)

is_referencevalue(refval(r1)) ∧ ( refval(r1) .refval ≠ jvmref → refval(r1) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r1) .refval -- _type]) ∧ st[refval(r1) .refval -- _type] .type ≤ mkarraytype(ty)) ∧ (∀ j. 0 ≤ j ∧ j < st[r1 -- _length] .intval → okval(st[r1 -- j '], ty)), r1 -- _length ∈ st, is_integervalue(st[r1 -- _length]), is_arrayref(r1, st[r1 -- _length] .intval, st), r1 ∈ st, 0 ≤ st[r1 -- _length] .intval ⊦ r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) ∧ is_arraytype(st[r1 -- _type] .type) ∧ st[r1 -- _type] .type .type ≤ ty ∧ (∀ j0. ¬ j0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ j0 → okval(st[r1 -- j0 '], ty)), r1 = r0, r1 = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
r1 -- _length ∈ st, is_integervalue(st[r1 -- _length]), is_arrayref(r1, st[r1 -- _length] .intval, st), r1 ∈ st, 0 ≤ st[r1 -- _length] .intval, r1 -- _type ∈ st, is_typevalue(st[r1 -- _type]), is_arraytype(st[r1 -- _type] .type), st[r1 -- _type] .type .type ≤ ty, j < st[r1 -- _length] .intval, 0 ≤ j, 0 < st[r1 -- _length] .intval, ∀ j. ¬ j < 0 ∧ ¬ st[r1 -- _length] .intval ≤ j → okval(st[r1 -- j '], ty) ⊦ r1 = r0, r1 = jvmref, okval(st[r1 -- j '], ty)

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], [CSIMPSEQ : ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]