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Proof step 3 from proof read-loop-term (previous step)

inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), m ∈ files, n0 + n ≤ n1, n0 + n ≤ m2, n1 - n0 ≤ # buf ⊦ ⟪vfs_read_loop#(n0, n1, inode, bv, dirs, files, asynced; buf, n, err)⟫ true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
afs-cons(dirs, files), m ∈ files, n1 ≤ # buf + n0, n0 + n ≤ n1, n0 + n ≤ m2, n ≤ # buf ⊦ ⟪vfs_read_loop#(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), bv, dirs, files, asynced; buf, n, err)⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat%n0 ≤ n ⊦ n - n0 ≤ m ↔ n ≤ m + n0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ ¬ m + n < m; (s)% ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m ≤ n ↔ ¬ n < m; (ss)