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Proof step 1 from proof inv-write-vidhdr (conclusion)

ubi-io-inv(apebs), ubi-io-write-vidhdr-pre(n, avhdr, apebs) ⊦ ⟪aubi_io_write_vidhdr#(n, avhdr; apebs; err)⟫ ubi-io-inv(apebs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
apebs[n].vidhdr = empty, apebs[n].echdr.valid?, avhdr.valid?, n < # apebs, ubi-io-inv(apebs), ¬ apebs[n].bad ⊦ ⟪aubi_io_write_vidhdr#(n, avhdr; apebs; err)⟫ ubi-io-inv(apebs)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%⊦ ubi-io-write-vidhdr-pre(n, avhdr, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ avhdr.valid? ∧ apebs[n].echdr.valid? ∧ apebs[n].vidhdr = empty; (s)