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Proof step 2 from proof initialization (previous step)

⊦ ⟪btree_format#(maxino3, LEB_SIZE, maxino2; adr, adr0, istore, istore0, ginval1, gstore1, gstore2, nx0, maxino4, ginval2, pstate, syn0; rp, err)⟫ ( ( err = ESUCCESS → ⟨index_format#(maxino3, LEB_SIZE, maxino2; ; fi1, fi2, ginval3, gstore3, gstore4, nx1, maxino5, ginval4, syn1, err0)⟩ ( ginval3 = ginval1 ∧ gstore3 = gstore1 ∧ gstore4 = gstore2 ∧ nx1 = nx0 ∧ maxino5 = maxino4 ∧ ginval4 = ginval2 ∧ btree-inv(rp, adr0, istore, istore0, zh, fi1, fi2) ∧ ri = fi1 ∧ fi3 = fi2 ∧ (syn1 ↔ syn0) ∧ ESUCCESS = err0)) ∧ ( err ≠ ESUCCESS → (∀ fi, fi0, ginval, gstore, gstore0, nx, maxino, ginval0, syn. ⟨index_format#(maxino3, LEB_SIZE, maxino2; ; fi1, fi2, ginval3, gstore3, gstore4, nx1, maxino5, ginval4, syn1, err0)⟩ ( fi = fi1 ∧ fi0 = fi2 ∧ ginval = ginval3 ∧ gstore = gstore3 ∧ gstore0 = gstore4 ∧ nx = nx1 ∧ maxino = maxino5 ∧ ginval0 = ginval4 ∧ (syn ↔ syn1) ∧ err = err0))))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: btree-asm name: inv-format seq: maxino = LEB_SIZE ⊦ ⟪btree_format# (maxino0, maxino, maxino1 ; adr, adr0, istore, istore0, ginval, gstore, gstore0, nx, maxino2, ginval0, pstate, syn ; rp, err)⟫ ( ( err = ESUCCESS → syn ∧ (∃ ri, fi. btree-inv(rp, adr0, istore, istore0, zh, ri, fi)) ∧ inv-journal(nx, gstore, gstore0, ginval) ∧ inv-index(istore, istore0) ∧ inv-state(pstate, nx, gstore, istore, syn)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → btree-inv(rp, adr0, istore, istore0, zh, ∅, ∅) ∧ gstore = ∅ ∧ ginval = ∅ ∧ maxino2 = maxino1 ∧ nx = [] ∧ ginval0 = ∅)) subst: [maxino1, maxino, maxino0, syn, pstate, ginval0, maxino2, nx, gstore0, gstore, ginval, istore0, istore, adr0, adr, err, rp, zh] → [maxino2, LEB_SIZE, maxino3, syn0, pstate, ginval2, maxino4, nx0, gstore2, gstore1, ginval1, istore0, istore, adr0, adr, err, rp, zh] flags: <all paths>

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