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Proof step 25 from proof abs-log-gcrash-down (previous step)

gstore[lnum] = groupblock(gndx0, lax0, m0), ginval ∩ elems nx1 = ∅, inv(groupblock(gndx0, lax0, m0)), inv(gstore \ ginval), lnum ∈ gstore, ∀ ginval, gstore, gstore0, nx0. elems nx1 ∩ ginval = ∅ ∧ inv(gstore \ ginval) → abs-log(nx1, crash(gstore, gstore0, ginval, nx0) ↓) = abs-log(nx1, gstore ↓) ⊦ abs-log(nx1, crash(gstore, gstore0, ginval, nx0) ↓) = abs-log(nx1, gstore ↓), lnum ∈ ginval

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 6 terms: ginval, gstore, gstore0, nx0

Additional information

Used simplifier rules: int-c: ⊦ ns ∩ ns0 = ns0 ∩ ns; from specification set-union[nat-set] Used terms: ginval, gstore, gstore0, nx0