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Theorem base for Specification ubi-io-pre

This is a listing of all goals defined over the current specification. Axioms are marked yellow, proved theorems green and unproved theorems blue. Click on individual names to get more information on the proof.

Name: Sequent: Type:
isbad-pre ⊦ ubi-io-isbad-pre(n, apebs) ↔ n < # apebs An Axiom
markbad-pre ⊦ ubi-io-markbad-pre(n, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad An Axiom
erase-pre ⊦ ubi-io-erase-pre(n, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad An Axiom
write-data-pre⊦ ubi-io-write-data-pre(n, n0, n1, n2, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ apebs[n].echdr.valid? ∧ apebs[n].vidhdr.valid? ∧ is-aligned(n0, EB_PAGE_SIZE) ∧ is-aligned(n2, EB_PAGE_SIZE) ∧ apebs[n].fill ≤ n0 ∧ n0 + n2 ≤ LEB_SIZE ∧ n1 + n2 ≤ # buf An Axiom
read-data-pre ⊦ ubi-io-read-data-pre(n, n0, m0, n1, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ n0 + n1 ≤ LEB_SIZE ∧ m0 + n1 ≤ # buf An Axiom
write-vidhdr-pre ⊦ ubi-io-write-vidhdr-pre(n, avhdr, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ avhdr.valid? ∧ apebs[n].echdr.valid? ∧ apebs[n].vidhdr = empty An Axiom
write-echdr-pre ⊦ ubi-io-write-echdr-pre(n, aehdr, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ aehdr.valid? ∧ apebs[n].echdr = empty An Axiom
read-vidhdr-pre ⊦ ubi-io-read-vidhdr-pre(n, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad An Axiom
read-echdr-pre ⊦ ubi-io-read-echdr-pre(n, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad An Axiom
write-data-wl-pre⊦ ubi-io-write-data-wl-pre(n, n1, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ apebs[n].echdr.valid? ∧ apebs[n].vidhdr.valid? ∧ n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE) ∧ apebs[n].fill = 0 ∧ n1 ≤ LEB_SIZE ∧ n1 ≤ # buf ∧ datasize(buf, n1) ≠ 0 An Axiom