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Proof step 59 from proof validrefs-putbyte-01 (previous step)

okbytearray(r, st) ∧ validrefs(str, refs, ty, st[r -- i ', byteval(by)]), ∀ by, i, ty, str, st, r, refs0. # refs0 < # refs → (okbytearray(r, st) ∧ validrefs(str, refs0, ty, st[r -- i ', byteval(by)]) → validrefs(str, refs0, ty, st)) ⊦ ∀ r, refs0. refs ≠ r ' + refs0, validrefs(str, refs, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
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)

Rule argument

[emptyarg]

Additional information

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