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

is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ r, str, ty, st. r ∈ acc ∧ validrefs(str, acc, ty, st) → r = jvmref ∨ is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type), acc = [] ∨ 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) ⊦ r0 = jvmref, r = jvmref, r ≠ r0 ∧ ¬ r ∈ acc, is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type)

User applied rule cut formula

And obtained the following new goals

Proof step 22:
is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ r, str, ty, st. r ∈ acc ∧ validrefs(str, acc, ty, st) → r = jvmref ∨ is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type), acc = [] ∨ 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) ⊦ acc = [], r0 = jvmref, r = jvmref, r ≠ r0 ∧ ¬ r ∈ acc, is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type)

Rule argument

[fma-arg: acc = []]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r ∈ []], [CSIMPSEQ : ⊦ ¬ is_valid_ref(r, st) → ¬ is_array(str, r, st)], [CSIMPSEQ : ⊦ ¬ type∃ (str, st[r -- _type] .type) ∧ r ≠ jvmref → ¬ is_array(str, r, st)])], [EXTRAFMAS : (acc = [])]]