Theorem ax6dgen 1824

Description: Tarski's system uses the weaker ax6v 1748 instead of the bundled ax-6 1747, so here we show that the degenerate case of ax-6 1747 can be derived. (Contributed by NM, 23-Apr-2017.)

Assertion

Ref	Expression
ax6dgen

Proof of Theorem ax6dgen

Step	Hyp	Ref	Expression
1		equid 1791	. 2
2	1	notnoti 123	. . 3
3	2	spfalw 1786	. 2
4	1, 3	mt2 179	1

Syntax hints:  -.wn 3  A.wal 1393

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790

This theorem depends on definitions:  df-bi 185  df-ex 1613