Theorem hbn1 1015

Description: x is not free in -. A.xph.

Assertion

Ref	Expression
hbn1	|- (-. A.xph -> A.x -. A.xph)

Proof of Theorem hbn1

Step	Hyp	Ref	Expression
1		hba1 1003	. 2 |- (A.xph -> A.xA.xph)
2	1	hbn 1004	1 |- (-. A.xph -> A.x -. A.xph)

Syntax hints:  -. wn 2   -> wi 3  A.wal 954

This theorem is referenced by:  hbe1 1016  ax467 1023  modal-5 1027  equs4 1150  equs5e 1198  ax15 1359  ax11indn 1366  a12lem1 1376  a12study 1378  a12studyALT 1379

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 963  ax-4 973  ax-5o 975  ax-6o 978

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