Theorem hypstkdOLD 705

Description: Obsolete proof of mpidan 704 as of 28-Mar-2021. (Contributed by Stanislas Polu, 9-Mar-2020.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypotheses

Ref	Expression
mpidan.1	|- ( ph -> ch )
mpidan.2	|- ( ( ( ph /\ ps ) /\ ch ) -> th )

Assertion

Ref	Expression
hypstkdOLD	|- ( ( ph /\ ps ) -> th )

Proof of Theorem hypstkdOLD

Step	Hyp	Ref	Expression
1		id 22	. 2 |- ( ( ph /\ ps ) -> ( ph /\ ps ) )
2		mpidan.1	. . 3 |- ( ph -> ch )
3	2	adantr 481	. 2 |- ( ( ph /\ ps ) -> ch )
4		mpidan.2	. 2 |- ( ( ( ph /\ ps ) /\ ch ) -> th )
5	1, 3, 4	syl2anc 693	1 |- ( ( ph /\ ps ) -> th )

Syntax hints:   -> wi 4   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by: (None)