Theorem pm5.19 672

Description: Theorem *5.19 of [WhiteheadRussell] p. 124.

Assertion

Ref	Expression
pm5.19	|- -. (ph <-> -. ph)

Proof of Theorem pm5.19

Step	Hyp	Ref	Expression
1		biid 168	. 2 |- (ph <-> ph)
2		pm5.18 663	. 2 |- ((ph <-> ph) <-> -. (ph <-> -. ph))
3	1, 2	mpbi 187	1 |- -. (ph <-> -. ph)

Syntax hints:  -. wn 2   <-> wb 144

This theorem is referenced by:  ru 1984  axnul2 2782

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

This theorem depends on definitions:  df-bi 145  df-or 222  df-an 223

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