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Theorem inv-write

v ∈ avols, v = default-volid, ebm-cons(avols), m < # avols[v], m0 + n ≤ LEB_SIZE, is-aligned(m0, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), n + n0 ≤ # buf, avols[v][m].mapped? → m0 ≥ avols[v][m].fill ⊦ ⟪ebm_vol_write#(m, m0, n0, n, buf, v; avols; err)⟫ (v ∈ avols ∧ ebm-cons(avols))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 29
Used lemmas: write,
Used spec theorems:
- ebm-asm/inv-write
Used simplifier rules:
- nat-basic/f
- nat-basic/add-base
- nat-basic/a
- nat-basic/c
- nat/lels-02
- array-copy/buffer/subarray-elim
- array-splice/buffer/append-a
- nat/ge
- nat/le-def
- nat/le-ls-simp
- nat/ls-02
- store/abstract-volumes/In-insert