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Proof step 189 from proof inv-gc (previous step)

gstore2[n1] = groupblock(gndx, lax, 0), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, fi1.inos < pmaxino, fi2.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro0), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range fi2), ri-cons(fi2, nodes(gstore2 ↓, jro0)), ri-inj(fi1), ri-inj(fi2), n1 ∈ dom gstore2 ∪ jro0, n1 ∈ gstore1, n1 ∈ gstore2, pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, fi2.lebs ⊆ dom gstore2, jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0) ⊦ #(dom gstore2 ∪ jro0) = 0, jmaxino = 0, pmaxino = 0, dom gstore2 ∪ jro0 = ∅, dups(nx), n1 ∈ nx, (adr.lnum ≠ n1 ∨ ¬ adr ∈ fi2) ∧ (jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore2 -- n1, jro0 ++ n1))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 190:
gstore2[n1] = groupblock(gndx, lax, 0), adr = @(m, m0, m1), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jro1 < jmaxino, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro0), inv(gstore1), refsize-cons(gstore2, range fi2), refsize-cons(gstore1, range fi1), ri-cons(fi2, nodes(gstore2 ↓, jro0)), ri-inj(fi2), ri-inj(fi1), n1 ∈ gstore2, n1 ∈ gstore1, n1 ∈ dom gstore2 ∪ jro0, pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0) ⊦ #(dom gstore2 ∪ jro0) = 0, jmaxino = 0, pmaxino = 0, dom gstore2 ∪ jro0 = ∅, dups(nx), n1 ∈ nx, (m ≠ n1 ∨ ¬ adr ∈ fi2) ∧ (jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore2 -- n1, jro0 ++ n1))

Rule argument

spec: address-data name: elim seq: ⊦ (m = adr.lnum ∧ m0 = adr.pos) ∧ m1 = adr.size ↔ adr = @(m, m0, m1) subst: [adr, m, m0, m1] → [adr, m, m0, m1]

Additional information

Used simplifier rules: ⊦ (m = adr.lnum ∧ m0 = adr.pos) ∧ m1 = adr.size ↔ adr = @(m, m0, m1); (elim) Used terms: adr, m, m0, m1