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Proof step 34 from proof nodes-cons-write-app (previous step)

# gndx1 = # lax1, # ndx = # lax0 + # lax2 + 1, # gndx0 = # lax0 + # lax2, (mkgnode(nd, m1, true, boolvar0) ' + gndx0).last = mkgnode(nd0, m2, boolvar1, true), gstore[m6] = groupblock(gndx1, lax1, m9), gndx0[# lax0 - 1] = mkgnode(nd1, m3, boolvar, boolvar2), m6 ∈ gstore, # lax0 ≤ # gndx0, ∀ n0. (n0 ≠ 0 ∧ ¬ # gndx0 < n0 → ¬ (mkgnode(nd, m1, true, boolvar0) ' + gndx0)[n0].start) ∧ (n0 < # gndx0 → ¬ (mkgnode(nd, m1, true, boolvar0) ' + gndx0)[n0].end), ∀ n0. ¬ # gndx0 < n0 → (mkgnode(nd, m1, true, boolvar0) ' + gndx0)[n0].nd = ndx[n0] ⊦ lax0 = [], nd1 = ndx[# lax0], dups(lax0), dups(lax2), dups(lax1 + lax0), dups(lax0 + lax2), dups(lax1), dups((lax1 + lax0) + lax2), m6 ∈ ginval, @(m7, m8) ∈ lax1, @(m7, m8) ∈ lax0, @(m7, m8) ∈ lax2

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: nat name: elim-pred-c seq: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1 subst: [n, m] → [# lax0, m0]

Additional information

Used simplifier rules: ⊦ # lax = 0 ↔ lax = []; (s)%n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1; (elim) Used terms: # lax0, m0