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Proof step 35 from proof recovery (previous step)

# avols1[default-volid] = # avols0[default-volid], m < # avols0[default-volid], ebm-cons(avols0), ebm-cons(avols1), ebm-vol-inv(abs(avols1[default-volid])), default-volid ∈ avols0, default-volid ∈ avols1, ∀ m0. m0 < # avols0[default-volid] ∧ avols1[default-volid][m0] ≠ unmapped → (avols1[default-volid][m0] = erased → avols0[default-volid][m0] = erased) ∧ ((∃ buf, m. avols1[default-volid][m0] = mapped(buf, m)) → avols0[default-volid][m0] = avols1[default-volid][m0]) ⊦ (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))

User applied rule all left

And obtained the following new goals

Proof step 36:
# avols1[default-volid] = # avols0[default-volid], m < # avols0[default-volid], ebm-cons(avols1), ebm-cons(avols0), ebm-vol-inv(abs(avols1[default-volid])), default-volid ∈ avols1, default-volid ∈ avols0, m < # avols0[default-volid] ∧ 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))

Rule argument

pos: left 8 terms: m abort: F discard: T computed: T

Additional information

Used terms: m