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Proof step 4 from proof coprimes-empty (previous step)

i ≤ 0 ⊦ 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 5:
⊦ j < i → count-i2j(i, j) = []

Rule argument

spec: inst: name: counti2j-empty seq: ⊦ j < i → count-i2j(i, j) = [] subst: [j, i] → [i, 1] flags: rewrite, current

Additional information

Used simplifier rules: filterFun-base: ⊦ filterFun(intboolfun, []) = [];%lsone: ⊦ i < 1 ↔ i ≤ 0; from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%lenls: ⊦ i ≤ j → ¬ j < i; from specification int-abs Used terms: i, 1