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Proof step 56 from proof validrefs-putbyte (previous step)

¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ ty)), validrefs(str, r0 ' + refs0, ty, st), okbytearray(r, 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)])) ⊦ validrefs(str, r0 ' + refs0, ty, st[r -- i ', byteval(by)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
Proof step 55:
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)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]