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Proof step 2 from proof coprimes-coprimes (previous step)

j ∈ coprimes(i) ⊦ gcd(i, j) = 1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ coprimes(i) = filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i))

Rule argument

spec: inst: name: coprimes-def seq: ⊦ coprimes(i) = filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i)) subst: [i] → [i] flags: rewrite, current

Additional information

Used simplifier rules: filterFun-in: ⊦ i ∈ filterFun(intboolfun, ints) ↔ i ∈ ints ∧ intboolfun(i); Used terms: i