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Proof step 4 from proof crash-update-reverted (previous step)

gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore ⊦ ∀ n0. (n0 ∈ crash(gstore[n, groupblock(gndx, lax, m2)], gstore1, ginval, nx) ↔ n0 ∈ crash(gstore, gstore1, ginval, nx)) ∧ ( n0 ∈ crash(gstore[n, groupblock(gndx, lax, m2)], gstore1, ginval, nx) → crash(gstore[n, groupblock(gndx, lax, m2)], gstore1, ginval, nx)[n0] = crash(gstore, gstore1, ginval, nx)[n0])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore ⊦ (n0 ∈ crash(gstore[n, groupblock(gndx, lax, m2)], gstore1, ginval, nx) ↔ n0 ∈ crash(gstore, gstore1, ginval, nx)) ∧ ( n0 ∈ crash(gstore[n, groupblock(gndx, lax, m2)], gstore1, ginval, nx) → (n0 ∈ nx ∨ ¬ n0 ∈ ginval ⊃ groupblock (gstore[n, groupblock(gndx, lax, m2)][n0].gndlist, gstore[n, groupblock(gndx, lax, m2)][n0].ladrlist, (n0 ∈ gstore1 ⊃ gstore1[n0].ref-size;0)) ;gstore1[n0] ) = crash(gstore, gstore1, ginval, nx)[n0])

Rule argument

Additional information

Used simplifier rules: crash-group-at: ⊦ n ∈ crash(gstore, gstore0, ginval, nx) → crash(gstore, gstore0, ginval, nx)[n] = (n ∈ nx ∨ ¬ n ∈ ginval ⊃ groupblock (gstore[n].gndlist, gstore[n].ladrlist, (n ∈ gstore0 ⊃ gstore0[n].ref-size;0)) ;gstore0[n] );