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Proof step 13 from proof junkrefs-primarray (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ mkarraytype(ty), st[r -- _type] .type = mkarraytype(ty0), r ∈ st, refs ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs .first = st[r -- i '] .refval ∧ junkrefs(str, refs, st[r -- _type] .type .type, st)), okarray(r, ty, st), is_array(str, r, st), is_primtype(ty), ty0 ≤ ty ⊦ r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
refs .first = st[r -- i '] .refval, st[r -- _type] .type = mkarraytype(ty0), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, r ∈ st, 0 < st[r -- _length] .intval, 0 ≤ i, ty0 ≤ ty, is_primtype(ty), is_array(str, r, st), okarray(r, ty, st), junkrefs(str, refs, ty0, st) ⊦ refs = [], r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty])]]