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Proof step 25 from proof coprimes-min (previous step)

filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i)) = [], 0 < i ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 26:
⊦ ints = [] ↔ ¬(∃ i. i ∈ ints)
Proof step 27:
∀ i0. ¬ i0 ∈ filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i)), 0 < i ⊦

Rule argument

spec: list inst: intlista name: some-element seq: ⊦ ints = [] ↔ ¬(∃ i. i ∈ ints) subst: [ints] → [filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i))] flags: rewrite

Additional information

Used terms: filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i))