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Proof step 12 from proof abs-log-new (previous step)

gstore[lnum] = groupblock(gndx, lax, m), ginval ∩ elems nx0 = ∅, ax.toSet ∩ abs-log(nx0, gstore).toSet = ∅, adr ∈ lax.to-adr(lnum), adr ∈ ax, lnum ∈ gstore, elems nx0 ⊆ dom gstore, ∀ adr. adr ∈ ax → ¬ adr ∈ nodes(gstore, ginval) ⊦ #(ax.toSet ∩ ((lax.to-adr(lnum)).toSet ∪ abs-log(nx0, gstore).toSet)) = 0, #(ax.toSet ∩ (lax.to-adr(lnum)).toSet) = 0, lnum ∈ ginval

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
gstore[lnum] = groupblock(gndx, lax, m), ax.toSet ∩ abs-log(nx0, gstore).toSet = ∅, ginval ∩ elems nx0 = ∅, lnum ∈ gstore, adr ∈ ax, adr ∈ lax.to-adr(lnum), elems nx0 ⊆ dom gstore, ∀ adr0. adr0 ∈ ax → ¬ adr0 ∈ gstore ∨ adr0.lnum ∈ ginval ⊦ #(ax.toSet ∩ (lax.to-adr(lnum)).toSet) = 0, #(ax.toSet ∩ ((lax.to-adr(lnum)).toSet ∪ abs-log(nx0, gstore).toSet)) = 0, lnum ∈ ginval

Rule argument

Additional information

Used simplifier rules: nodes-gstore-in: ⊦ adr ∈ nodes(gstore, ginval) ↔ ¬ ¬(adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval);