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Theorem flush-padding-space-write

⊦ n < # avol ∧ avol[n] = mapped(buf0) ∧ awbuf-inv(avol, bleb) ∧ EB_PAGE_SIZE = # buf1 + # buf0 % EB_PAGE_SIZE ∧ ¬ is-aligned(# buf0, EB_PAGE_SIZE) → ¬ LEB_SIZE < # buf0 + # buf1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: elim-mapped,
Used spec theorems:
- awbuf-inv/awbuf-inv-def
- align/between-is-aligned
Used simplifier rules:
- nat-basic/f
- aleb/inj
- abs-node/encoding-index-node/buf-size-zero
- nat-basic/l-01
- bufleb/sel
- nat/fle-01
- bufleb/disj
- aleb/sel
- aleb/test-02
- eraseblock/page-size
- align/aligndown-is-aligned
- align/align-down-add-to-align-up
- nat-basic/a
- nat-basic/c
- align/alignup-calc
- eraseblock/lebsize-page-size-is-aligned
- nat/lels
- nat/let
- align/aligndown-le
- align/is-aligned-mod
- nat-basic/add-base