Metamath Proof Explorer


Theorem abcdtc

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

Ref Expression
Hypothesis abcdtc.1
|- ( ( ( ph /\ ps ) /\ ch ) /\ th )
Assertion abcdtc
|- ch

Proof

Step Hyp Ref Expression
1 abcdtc.1
 |-  ( ( ( ph /\ ps ) /\ ch ) /\ th )
2 1 simpli
 |-  ( ( ph /\ ps ) /\ ch )
3 2 simpri
 |-  ch