FTA Sections DiscrMathExt Doc
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Def  b | a == c:a = bc

is mentioned by

Thm*  a:b:f:({a..b}), p:.
Thm*  is_prime_factorization(abf)
Thm*  
Thm*  prime(p)
Thm*  
Thm*  p | {a..b}(f {a..b}(f) = p{a..b}(reduce_factorization(fp))
[remove_prime_factor]
Thm*  a:b:f:({a..b}), p:.
Thm*  is_prime_factorization(abf)
Thm*  
Thm*  prime(p p | {a..b}(f p  {a..b} & 0<f(p)
[prime_factorization_includes_prime_divisors]
Thm*  p:. prime(p (b,z:p | zb  b  0 & p | z)[prime_divs_exp]
Thm*  p:
Thm*  prime(p)
Thm*  
Thm*  (a,b:e:({a..b}).
Thm*  (a<b  p | ( i:{a..b}. e(i))  (i:{a..b}. p | e(i)))
[prime_divs_mul_via_intseg]
Thm*  X:. prime(X (a,b:X | ab  X | a  X | b)[nat_prime_div_each_factor]
Thm*  X:
Thm*  prime(X)
Thm*  
Thm*  (X1:X1<X  prime(X1 (a,b:X1 | ab  X1 | a  X1 | b))
Thm*  
Thm*  (W:. 0<W  W<X  (t:X | tW  X | t))
[nat_prime_div_each_factorLEMMA]
Thm*  a,b:f:({a..b}), j:{a..b}. 0<f(j j | {a..b}(f)[factor_divides_evalfactorization]

In prior sections: num thy 1 SimpleMulFacts IteratedBinops

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FTA Sections DiscrMathExt Doc