Theorem nalf 14153

Description: Not all sets hold F. as true.

Assertion

Ref	Expression
nalf	|- -. A.x F.

Proof of Theorem nalf

Step	Hyp	Ref	Expression
1		alnof 14152	. 2 |- A.x -. F.
2		FiA 14104	. . 3 |- ( F. -> -. A.x -. F. )
3	2	a4s 1330	. 2 |- (A.x F. -> -. A.x -. F. )
4	1, 3	mt2 124	1 |- -. A.x F.

Syntax hints:  -. wn 2   F. wfal 1261  A.wal 1296

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 1305  ax-4 1319

This theorem depends on definitions:  df-bi 164  df-tru 1262  df-fal 1263

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