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Proof step 42 from proof at-put-prim (previous step)

is_referencevalue(st[r0 -- (sk0 ' + sks0)]), r0 ≠ jvmref ∧ is_referencevalue(st[r0 -- sk0]) ∧ (is_classtype(st[r0 -- _type] .type) → sk0 ∈ instfields(st[r0 -- _type] .type .class)) ∧ (is_arraytype(st[r0 -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r0 -- _length] .intval) ∧ fits(st[r0 -- sk0] .refval, sks0, st), ∀ st, r0, r, sk, val, str. is_referencevalue(st[r0 -- sks0]) ∧ fits(r0, sks0, st) → sks0 = [] ∨ (st[r -- sk, val][r0 -- sks0]) = st[r0 -- sks0] ∨ is_referencevalue(st[r -- sk]) ∨ junkref(str, r, st) ∨ junkref(str, r0, st) ⊦ (st[r -- sk, val][r0 -- (sk0 ' + sks0)]) = st[r0 -- (sk0 ' + sks0)], is_referencevalue(st[r -- sk]), junkref(str, r, st), junkref(str, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
fits(st[r0 -- sk0] .refval, sks0, st), is_referencevalue(st[r0 -- sk0]), is_referencevalue(st[r0 -- (sk0 ' + sks0)]), ∀ st, r0, r, sk, val, str. is_referencevalue(st[r0 -- sks0]) ∧ fits(r0, sks0, st) → sks0 = [] ∨ (st[r -- sk, val][r0 -- sks0]) = st[r0 -- sks0] ∨ is_referencevalue(st[r -- sk]) ∨ junkref(str, r, st) ∨ junkref(str, r0, st), is_arraytype(st[r0 -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r0 -- _length] .intval, is_classtype(st[r0 -- _type] .type) → sk0 ∈ instfields(st[r0 -- _type] .type .class) ⊦ r0 = jvmref, (st[r -- sk, val][r0 -- (sk0 ' + sks0)]) = st[r0 -- (sk0 ' + sks0)], junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r -- sk])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]