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Theorem prepost-write-superblock

avol0 = avol, # avol ≠ 0, ebm-vol-inv(avol) ⊦ ⟪persistence_io_write_superblock#(sb, EB_PAGE_SIZE, LEB_SIZE; avol; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ebm-vol-inv(avol) ∧ (err = ESUCCESS → id○(avol, avol0, 0) ∧ (∃ buf. is-encoded(sb, buf) ∧ avol[0] = mapped(buf))) ∧ (err ≠ ESUCCESS → avol = avol0))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: inv-commit, inv-format,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 31
Used lemmas: write-superblock,
Used spec theorems:
- encoding-aligned/encoding-superblock/encode-contract
- ebm-avol-asm/inv-change
- encoding-aligned/encoding-superblock/size-aligned
Used simplifier rules:
- array/buffer/Size-mkarray
- encoding-elem-alignment/encoding-superblock/alignment-not-zero
- align/alignup-is-aligned
- nat/let
- nat/ler
- nat-basic/f
- nat-basic/add-base
- nat-basic/a
- nat-basic/c
- array-copy/buffer/subarray-elim
- nat-basic/zero
- error-class/esuccess
- array-copy/avolume/idexcept-write-at0
- array-copy/avolume/idexcept-refl
- array/avolume/cgetput
- aleb/inj
- error-class/not-esuccess
- nat/le-def
- error/disj-35
- error-class/enospc