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Proof step 38 from proof recovery (previous step)

# avols1[default-volid] = # avols0[default-volid], mapped(buf1, m0) = avols1[default-volid][m], m < # avols0[default-volid], ebm-cons(avols1), ebm-cons(avols0), ebm-vol-inv(abs(avols1[default-volid])), default-volid ∈ avols1, default-volid ∈ avols0, avols1[default-volid][m] ≠ unmapped → (avols1[default-volid][m] = erased → avols0[default-volid][m] = erased) ∧ ((∃ buf, m1. avols1[default-volid][m] = mapped(buf, m1)) → avols0[default-volid][m] = avols1[default-volid][m]) ⊦ (avols1[default-volid][m] = mapped(buf, n) → abs(avols0[default-volid][m]) = abs(avols1[default-volid][m])) ∧ ( abs(avols1[default-volid][m]) = unmapped ∧ avols0[default-volid][m] = mapped(buf0, n0) → # abs(avols0[default-volid][m]).data ≤ LEB_SIZE ∧ is-aligned(# abs(avols0[default-volid][m]).data, EB_PAGE_SIZE))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
# avols1[default-volid] = # avols0[default-volid], mapped(buf1, m0) = avols1[default-volid][m], m < # avols0[default-volid], ebm-cons(avols0), ebm-cons(avols1), ebm-vol-inv(abs(avols1[default-volid])), default-volid ∈ avols0, default-volid ∈ avols1, (∃ buf, m1. mapped(buf1, m0) = mapped(buf, m1)) → avols0[default-volid][m] = mapped(buf1, m0) ⊦ abs(avols0[default-volid][m]) = mapped(subarray(buf1, 0, m0))

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf, m) = mapped(buf0, m0) ↔ buf = buf0 ∧ m = m0; (ws)% ⊦ unmapped ≠ mapped(buf); (s)% ⊦ abs(mapped(buf, n)) = mapped(subarray(buf, 0, n)); (s)% ⊦ erased ≠ mapped(buf, m); (s)% ⊦ unmapped ≠ mapped(buf, m); (s)