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Proof step 2 from proof read-app (previous step)

∀ fs, ax1. fs[ax + ax1] = fs[ax] + fs[ax1] ⊦ fs[(adr + ax) + ax1] = fs[adr + ax] + fs[ax1]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ fs, ax1. fs[ax + ax1] = fs[ax] + fs[ax1] ⊦ fs[ax + ax1] = fs[ax] + fs[ax1]

Rule argument

Additional information

Used simplifier rules: read-rec: ⊦ fs[adr ' + ax] = fs[adr] + fs[ax];% ⊦ nd ' + ndx = nd ' + ndx0 ↔ ndx = ndx0; (s)%a: ⊦ (ndx + ndx0) + ndx1 = ndx + ndx0 + ndx1; from specification list[node-list]% ⊦ nd + ndx = nd ' + ndx; (s)%a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]% ⊦ adr + ax = adr ' + ax; (s)