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Proof step 15 from proof prepost-write-orphans (previous step)

avol0 = avol, n < # avol, ebm-vol-inv(avol), is-encoded-pad(orphans0, # orphans0, buf0), # buf0 ≤ LEB_SIZE ⊦ ⟪ebm_avol_remap#(n; avol; err); if err = ESUCCESS then ebm_avol_write#(n, 0, 0, # buf0, buf0; 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)))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: ebm-avol-asm name: inv-remap seq: ebm-vol-inv(avol), m < # avol ⊦ ⟪ebm_avol_remap#(m; avol; err)⟫ ebm-vol-inv(avol) subst: [m, avol, err] → [n, avol, err] flags: <all paths>

Additional information