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Proof step 4 from proof diff-wfrec (previous step)

∀ a, y. x0 \ (a ' + y) = (x0 -l a) \ y ⊦ (a0 ' + x0) \ (a ' + y) = ((a0 ' + x0) -l a) \ y

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 5:
a0 ∈ a ' + y, ∀ a, y. x0 \ (a ' + y) = (x0 -l a) \ y ⊦ (a0 ' + x0) \ (a ' + y) = ((a0 ' + x0) -l a) \ y
Proof step 12:
∀ a, y. x0 \ (a ' + y) = (x0 -l a) \ y ⊦ a0 ∈ a ' + y, (a0 ' + x0) \ (a ' + y) = ((a0 ' + x0) -l a) \ y

Rule argument

fma: a0 ∈ a ' + y

Additional information

Used formulas: a0 ∈ a ' + y