Theorem bnj564

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypothesis	bnj564.17	|- ( ta <-> ( f Fn m /\ ph' /\ ps' ) )
Assertion	bnj564	|- ( ta -> dom f = m )

Proof

Step	Hyp	Ref	Expression
1		bnj564.17	|- ( ta <-> ( f Fn m /\ ph' /\ ps' ) )
2	1	simp1bi	|- ( ta -> f Fn m )
3	2	fndmd	|- ( ta -> dom f = m )