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Proof step 10 from proof crash-update-reverted (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ n ∈ crash(gstore, gstore0, ginval, nx) ↔ n ∈ gstore ∨ n ∈ ginval
Proof step 12:
gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore ⊦ (n0 ∈ gstore ∨ n0 ∈ ginval → n0 ∈ gstore ∨ n0 ∈ ginval) ∧ ( n0 ∈ gstore ∨ n0 ∈ ginval → (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

spec: <toplevel> name: crash-group-in seq: ⊦ n ∈ crash(gstore, gstore0, ginval, nx) ↔ n ∈ gstore ∨ n ∈ ginval subst: [nx, ginval, gstore0, gstore, n] → [nx, ginval, gstore1, gstore, n0] flags: <all paths>

Additional information

Used terms: nx, ginval, gstore1, gstore, n0