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Proof step 10 from proof del-rev (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ (x + y) -l a = (x -l a) + (y -l a)
Proof step 12:
∀ a. rev(x0) -l a = rev(x0 -l a) ⊦ (rev(x0) -l a) + (a0 ' -l a) = rev(x0 -l a) + a0 ', a = a0

Rule argument

spec: <toplevel> name: del-append seq: ⊦ (x + y) -l a = (x -l a) + (y -l a) subst: [a, y, x] → [a, a0 ', rev(x0)] flags: <all paths>

Additional information

Used terms: a, a0 ', rev(x0)