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Proof step 57 from proof validrefs-putbyte-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
Proof step 56:
okbytearray(r, st), validrefs(str, r0 ' + refs0, ty, st[r -- i ', byteval(by)]), is_valid_ref(str, r0, st[r -- i ', byteval(by)]), st[r0 -- _type] .type ≤ ty, ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + refs0) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st[r -- i ', byteval(by)]) → validrefs(str, refs1, ty, st)) ⊦ r0 = jvmref, validrefs(str, r0 ' + refs0, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- _type]) = st[r0 -- _type]], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]