Theorem abcdta 41092

Description: Given (((a and b) and c) and d), there exists a proof for a. (Contributed by Jarvin Udandy, 3-Sep-2016.)

Hypothesis

Ref	Expression
abcdta.1	|- ( ( ( ph /\ ps ) /\ ch ) /\ th )

Assertion

Ref	Expression
abcdta	|- ph

Proof of Theorem abcdta

Step	Hyp	Ref	Expression
1		abcdta.1	. . . 4 |- ( ( ( ph /\ ps ) /\ ch ) /\ th )
2	1	simpli 474	. . 3 |- ( ( ph /\ ps ) /\ ch )
3	2	simpli 474	. 2 |- ( ph /\ ps )
4	3	simpli 474	1 |- ph

Syntax hints:   /\ 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)