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Proof step 27 from proof validrefs-superclass (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty, is_array(str, r, st), acc = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ acc .first = st[r -- i '] .refval ∧ validrefs(str, acc, st[r -- _type] .type .type, st)), ty ≤ ty0, st[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty0, ∀ ty, ty0, str, st. ty ≤ ty0 ∧ validrefs(str, acc, ty, st) → validrefs(str, acc, ty0, st) ⊦ r = jvmref, validrefs(str, r ' + acc, ty0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
is_array(str, r, st), ty ≤ ty0, st[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty0, ∀ ty, ty0, str, st. ty ≤ ty0 ∧ validrefs(str, acc, ty, st) → validrefs(str, acc, ty0, st), acc = [] ∨ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ acc .first = st[r -- i '] .refval ∧ validrefs(str, acc, st[r -- _type] .type .type, st) ⊦ r = jvmref, validrefs(str, r ' + acc, ty0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]