Theorem pm2.86d

Description: Deduction associated with pm2.86 . (Contributed by NM, 29-Jun-1995) (Proof shortened by Wolf Lammen, 3-Apr-2013)

	Ref	Expression
Hypothesis	pm2.86d.1	|- ( ph -> ( ( ps -> ch ) -> ( ps -> th ) ) )
Assertion	pm2.86d	|- ( ph -> ( ps -> ( ch -> th ) ) )

Proof

Step	Hyp	Ref	Expression
1		pm2.86d.1	|- ( ph -> ( ( ps -> ch ) -> ( ps -> th ) ) )
2		ax-1	|- ( ch -> ( ps -> ch ) )
3	2 1	syl5	|- ( ph -> ( ch -> ( ps -> th ) ) )
4	3	com23	|- ( ph -> ( ps -> ( ch -> th ) ) )