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Proof step 3 from proof coprimes-ordered (previous step)

⊦ ordered≤(filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ordered≤(ints) → ordered≤(filterFun(intboolfun, ints))
Proof step 5:
¬ ordered≤(count-i2j(1, i)) ⊦ ordered≤(filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i)))

Rule argument

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

Additional information

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