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Theorem inv-recover

apebs = apebs0, ubi-cons(apebs0, vols, wlar, q, bflipset, vtblpnum, vtblpnum0), vtblpnum1 = LEB_SIZE, vtblpnum2 = EB_PAGE_SIZE, ubi-io-inv(apebs0) ⊦ ⟪ubi_recover#(apebs; vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum, vtblpnum4; vtblpnum5, err)⟫ ( ( err = ESUCCESS → ubi-cons(apebs, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum) ∧ vtblpnum4 = LEB_SIZE ∧ vtblpnum5 = EB_PAGE_SIZE ∧ ubi-io-inv(apebs)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-max(apebs, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum) ∧ q0.lebrefs ⊆ q.lebrefs ∧ vols ⊆ vols0 ∧ vols0⌈vols, q⌉))

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: ubi-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 71
Proof steps: 243
Used lemmas: lf-valid-wl-bad, lf-used-valid-peb, lf-valid-vtbl-neq-erasing, lf-mapped-info, lf-mapped-valid-peb, lf-used-info, prepost-fix-ecs, prepost-init-vols-mappings, lf-valid-wl-not-erroneous, prepost-init-vols-sizes, ubi-io-inv-fwd, lf-valid-recs-sqns-vidhdr, lf-valid-recs-notin-eraseq, prepost-scan-all, recover, lf-vtbl-info,
Used spec theorems:
Used simplifier rules: