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Proof step 6 from proof validrefs-bytearray (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ mkarraytype(byte_type), refs = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs .first = st[r -- i '] .refval ∧ validrefs(str, refs, st[r -- _type] .type .type, st)), is_array(r, st), okbytearray(r, st) ⊦ r = jvmref, refs = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ validrefs(str, refs, byte_type, st) ↔ refs = [] ∨ refs = jvmref '
Proof step 5:
jvmref = st[r -- i '] .refval, 0 < st[r -- _length] .intval, 0 ≤ i, is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, okbytearray(r, st), is_array(r, st) ⊦ r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ r ' .first = r], [CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ byte_type ≤ ty ↔ ty = byte_type], [CSIMPSEQ : ⊦ mkarraytype(ty) ≤ mkarraytype(ty0) ↔ ty ≤ ty0], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ okbytearray(r, st) → st[r -- _type] = typeval(mkarraytype(byte_type))], [CSIMPSEQ : ⊦ okbytearray(r, st) → is_array(str, r, st)])]]