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

¬ (is_array(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty), validrefs(str, r0 ' + refs0, ty, st), okbytearray(r, st), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + refs0) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st) → validrefs(str, refs1, ty, st[r -- i ', byteval(by)])) ⊦ r0 = jvmref, validrefs(str, r0 ' + refs0, ty, st[r -- i ', byteval(by)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
st[r0 -- _type] .type ≤ ty, validrefs(str, r0 ' + refs0, ty, st), okbytearray(r, st), is_obj(str, r0, st), ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + refs0) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st) → validrefs(str, refs1, ty, st[r -- i ', byteval(by)])) ⊦ r0 = jvmref, validrefs(str, r0 ' + refs0, ty, st[r -- i ', byteval(by)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_obj(str, r, st) → ¬ is_array(str, r, st)], [CSIMPSEQ : ⊦ ¬ is_array(str, r, st) → ( is_valid_ref(str, r, st) ↔ is_obj(str, r, st))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]