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Proof step 6 from proof firstN-lastN-in (
previous step
)
n ≤ # x, a ∈ firstn(# x - n, x) + lastn(n, x) ⊦ a ∈ lastn(n, x), a ∈ firstn(# x - n, x)
User applied rule insert rewrite lemma
And obtained the following new goals
Proof step 7
:
⊦ a ∈ x + y ↔ ¬ ¬(a ∈ x ∨ a ∈ y)
Rule argument
spec: list inst: name: in-append seq: ⊦ a ∈ x + y ↔ ¬ ¬(a ∈ x ∨ a ∈ y) subst: [y, x, a] → [lastn(n, x), firstn(# x - n, x), a] flags: rewrite
Additional information
Used terms: lastn(n, x), firstn(# x - n, x), a