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Proof step 23 from proof validrefs-not-in-01 (previous step)

is_array(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), r ∈ acc, acc = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ acc .first = st[r0 -- i '] .refval ∧ validrefs(str, acc, st[r0 -- _type] .type .type, st)), st[r0 -- _type] .type ≤ ty, ∀ r, str, ty, st. r ∈ acc ∧ validrefs(str, acc, ty, st) → r = jvmref ∨ is_valid_ref(str, r, st) ⊦ r0 = jvmref, r = r0, r = jvmref, is_valid_ref(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
acc .first = st[r0 -- i '] .refval, is_array(str, r0, st), r ∈ acc, st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, is_referencevalue(st[r0 -- i ']), validrefs(str, acc, st[r0 -- _type] .type .type, st), 0 ≤ i, 0 < st[r0 -- _length] .intval, ∀ r, str, ty, st. r ∈ acc ∧ validrefs(str, acc, ty, st) → r = jvmref ∨ is_valid_ref(str, r, st) ⊦ r0 = jvmref, r = r0, r = jvmref, acc = [], is_valid_ref(str, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ¬ r ∈ []])]]