Theorem intnanr 517

Description: Introduction of conjunct inside of a contradiction.

Hypothesis

Ref	Expression
intnanr.1	|- -. ph

Assertion

Ref	Expression
intnanr	|- -. (ph /\ ps)

Proof of Theorem intnanr

Step	Hyp	Ref	Expression
1		intnanr.1	. 2 |- -. ph
2		pm3.26 256	. 2 |- ((ph /\ ps) -> ph)
3	1, 2	mto 93	1 |- -. (ph /\ ps)

Syntax hints:  -. wn 1   /\ wa 196

This theorem is referenced by:  rab0 1718  0nelxp 2475  co02 2663  ruclem29 4913

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

This theorem depends on definitions:  df-bi 128  df-an 198

metamath.org