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Proof step 2 from proof prepost-write-orphans (previous step)

avol0 = avol, orphans0 = orphans, n < # avol, ebm-vol-inv(avol) ⊦ ⟪persistence_io_write_orphans#(n, EB_PAGE_SIZE, LEB_SIZE; orphans, avol; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ebm-vol-inv(avol) ∧ id○(avol, avol0, n) ∧ (err = ESUCCESS → avol[n].mapped? ∧ is-encoded-pad(orphans0, # orphans0, avol[n].data)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
avol0 = avol, orphans0 = orphans, n < # avol, ebm-vol-inv(avol) ⊦ ⟪persistence_io_write_orphans#(n, EB_PAGE_SIZE, LEB_SIZE; orphans, avol; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ebm-vol-inv(avol) ∧ id○(avol, avol0, n) ∧ (err = ESUCCESS → avol[n].mapped? ∧ is-encoded-pad(orphans0, # orphans0, avol[n].data)))

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic