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Proof step 6 from proof coprimes-prime (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
prime(i), 0 < i ⊦ filterFun(λ j. gcd(i, j) = 1, count-i2j(1, i - 1)) + filterFun(λ j. gcd(i, j) = 1, i ') = count-i2j(1, i - 1)

Rule argument

Additional information

Used simplifier rules: filterFun-append: ⊦ filterFun(intboolfun, ints + ints0) = filterFun(intboolfun, ints) + filterFun(intboolfun, ints0);%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%leone: ⊦ 1 ≤ i ↔ 0 < i; from specification int-abs%a: ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1; from specification list[intlista]%Last: ⊦ ints + i = ints + i '; from specification list[intlista]