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Proof step 11 from proof in-crash-in-gstore (previous step)

crash(gstore, gstore0, ginval, nx)[m0] = groupblock(gndx, lax, m), gstore[m0] = groupblock(gndx0, lax0, m3), @(m1, m2) ∈ lax, m0 ∈ gstore ⊦ @(m1, m2) ∈ lax0, m0 ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ 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])

Rule argument

spec: <toplevel> name: crash-group-at seq: ⊦ 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] ) subst: [n, nx, ginval, gstore0, gstore] → [m0, nx, ginval, gstore0, gstore] flags: <all paths>

Additional information

Used simplifier rules: crash-group-in: ⊦ n ∈ crash(gstore, gstore0, ginval, nx) ↔ n ∈ gstore ∨ n ∈ ginval;%crash-group-in: ⊦ n ∈ crash(gstore, gstore0, ginval, nx) ↔ n ∈ gstore ∨ n ∈ ginval;%⊦ groupblock(gndx, lax, m) = groupblock(gndx0, lax0, m0) ↔ gndx = gndx0 ∧ lax = lax0 ∧ m = m0; (ws)% ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s)% ⊦ ¬ n ∈ gstore → gstore[n] = (∅)[n]; (s) Used terms: m0, nx, ginval, gstore0, gstore