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Proof step 11 from proof junkref-primarray-lvl (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ mkarraytype(ty), st[r -- _type] = typeval(mkarraytype(ty)), is_valid_ref(str1, r, st), refs0 ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs0 .first = st[r -- i '] .refval ∧ junkrefs(str, refs0, st[r -- _type] .type .type, st)), is_primtype(ty) ⊦ r = jvmref, junkrefs(str1, r ' + refs0, mkarraytype(ty), st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
refs0 .first = st[r -- i '] .refval, st[r -- _type] = typeval(mkarraytype(ty)), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, is_valid_ref(str1, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str, r, st), is_primtype(ty), junkrefs(str, refs0, ty, st) ⊦ refs0 = [], r = jvmref, junkrefs(str1, r ' + refs0, mkarraytype(ty), st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ ty ≤ ty], [CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ typeval(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])]]