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Definition df-erq 10018
Description: Define a convenience function that "reduces" a fraction to lowest terms. Note that in this form, it is not obviously a function; we prove this in nqerf 10035. (Contributed by NM, 27-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-erq [Q] = ( ~Q ∩ ((N × N) × Q))

Detailed syntax breakdown of Definition df-erq
StepHypRef Expression
1 cerq 9959 . 2 class [Q]
2 ceq 9956 . . 3 class ~Q
3 cnpi 9949 . . . . 5 class N
43, 3cxp 5307 . . . 4 class (N × N)
5 cnq 9957 . . . 4 class Q
64, 5cxp 5307 . . 3 class ((N × N) × Q)
72, 6cin 3766 . 2 class ( ~Q ∩ ((N × N) × Q))
81, 7wceq 1637 1 wff [Q] = ( ~Q ∩ ((N × N) × Q))
Colors of variables: wff setvar class
This definition is referenced by:  nqerf  10035  nqerrel  10037  nqerid  10038
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