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Proof step 3 from proof abs-gstore-replay-lpt-unchanged (previous step)

# lpt = # avol1, # avol0 = # avol1, ∀ n. n < # avol1 ∧ (n ∈ nx ∨ lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n] ⊦ (∀ n. (n < # avol1 ∧ replay-lpt(lpt, nx, # avol1)[n].flags = LP_GROUP_NODES ↔ n ∈ crash(gstore, gstore0, ginval, nx)) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol1[n], crash(gstore, gstore0, ginval, nx)[n], replay-lpt(lpt, nx, # avol1)[n])) ∧ ( n ∈ crash(gstore, gstore0, ginval, nx) → replay-lpt(lpt, nx, # avol1)[n].ref-size = (n ∈ nx ∨ ¬ n ∈ ginval ⊃ groupblock(gstore[n].gndlist, gstore[n].ladrlist, (n ∈ gstore0 ⊃ gstore0[n].ref-size;0));gstore0[n]).ref-size)) ↔ (∀ n. (n < # avol1 ∧ replay-lpt(lpt, nx, # avol1)[n].flags = LP_GROUP_NODES ↔ n ∈ crash(gstore, gstore0, ginval, nx)) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol0[n], crash(gstore, gstore0, ginval, nx)[n], replay-lpt(lpt, nx, # avol1)[n])) ∧ ( n ∈ crash(gstore, gstore0, ginval, nx) → replay-lpt(lpt, nx, # avol1)[n].ref-size = (n ∈ nx ∨ ¬ n ∈ ginval ⊃ groupblock(gstore[n].gndlist, gstore[n].ladrlist, (n ∈ gstore0 ⊃ gstore0[n].ref-size;0));gstore0[n]).ref-size))

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

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