Definition df-fns 5763

Description: Define the function with domain relationship. (Contributed by SF, 9-Feb-2015.)

Assertion

Ref	Expression
df-fns	⊢ Fns = {⟨f, a⟩ ∣ f Fn a}

Distinct variable group:   f,a

Detailed syntax breakdown of Definition df-fns

Step	Hyp	Ref	Expression
1		cfns 5762	. 2 class Fns
2		vf	. . . . 5 setvar f
3	2	cv 1641	. . . 4 class f
4		va	. . . . 5 setvar a
5	4	cv 1641	. . . 4 class a
6	3, 5	wfn 4777	. . 3 wff f Fn a
7	6, 2, 4	copab 4623	. 2 class {⟨f, a⟩ ∣ f Fn a}
8	1, 7	wceq 1642	1 wff Fns = {⟨f, a⟩ ∣ f Fn a}

This definition is referenced by:  fnsex  5833  brfns  5834