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Proof step 70 from proof refine-read (previous step)

files[m3] = mkfile(m1, md, m2, content), of[fd] = mkfile(m3, mode0, m4), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), fd ∈ of, n0 ≤ # buf0, m4 ≤ m1, psynced → asynced ⊦ read-inv(m4, m4 + n0, buf0, buf0, 0, content), mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 71:
⊦ read-inv(n0, n1, buf0, buf1, n, content) ↔ ⌜buf1⌝ = ((content.stream from n0) to n) + (⌜buf0⌝ from n)

Rule argument

spec: vfs-contracts name: read-inv seq: ⊦ read-inv(n0, n1, buf0, buf1, n, content) ↔ ⌜buf1⌝ = ((content.stream from n0) to n) + (⌜buf0⌝ from n) subst: [content, n, buf1, buf0, n1, n0] → [content, 0, buf0, buf0, m4 + n0, m4] flags: <all paths>

Additional information

Used simplifier rules: ⊦ σ0 to 0 = []; (s)% ⊦ σ0 from 0 = σ0; (s)% ⊦ [] + σ0 = σ0; (s)%append-assoc: ⊦ (σ0 + σ3) + σ4 = σ0 + σ3 + σ4; from specification stream[buffer-inf]% ⊦ ⌜buf0⌝ = ⌜buf1⌝ ↔ buf0 = buf1; (s) Used terms: content, 0, buf0, buf0, m4 + n0, m4