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Proof step 12 from proof del-rev (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ ¬ a ∈ x → x -l a = x
Proof step 14:
¬ a ∈ a0 ', ∀ a. rev(x0) -l a = rev(x0 -l a) ⊦ a = a0, (rev(x0) -l a) + a0 ' = rev(x0 -l a) + a0 '

Rule argument

spec: inst: name: in-03 seq: ⊦ ¬ a ∈ x → x -l a = x subst: [a, x] → [a, a0 '] flags: rewrite, current

Additional information

Used simplifier rules: in-17: ⊦ a ∈ b ' ↔ a = b; from specification list Used terms: a, a0 '