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Proof step 74 from proof ex-fits-validrefs-stronger (previous step)

sks2 ≠ [], # refs = # sks0, st[r -- sk] = refval(r0), validrefs(str, r0 ' + refs, st[r0 -- _type] .type, st), fits(r0, sks0, st), sks2 ⊑ sks0, ∀ sks1. sks1 ⊑ sks0 ∧ sks1 ≠ [] → st[r0 -- sks1] .refval = (r0 ' + refs)[# sks1], is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st) ∨ is_array(str, r, st), sks2 ≠ [] → st[r0 -- sks2] .refval = (r0 ' + refs)[# sks2] ⊦ r = jvmref, st[r -- (sk ' + sks2)] .refval = (r0 ' + refs)[# sks2], junkref(str, r, st), junkref(str, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 73:
# refs = # sks0, st[r -- sk] = refval(r0), st[r0 -- sks2] .refval = (r0 ' + refs)[# sks2], validrefs(str, r0 ' + refs, st[r0 -- _type] .type, st), fits(r0, sks0, st), sks2 ⊑ sks0, ∀ sks1. sks1 ⊑ sks0 ∧ sks1 ≠ [] → st[r0 -- sks1] .refval = (r0 ' + refs)[# sks1], is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st) ∨ is_array(str, r, st) ⊦ r = jvmref, st[r -- (sk ' + sks2)] .refval = (r0 ' + refs)[# sks2], sks2 = [], junkref(str, r, st), junkref(str, r0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]