HomeHome Metamath Proof Explorer < Previous   Next >
Related theorems
Unicode version

Theorem simpr3r 938
Description: Simplification of conjunction.
Assertion
Ref Expression
simpr3r |- ((ta /\ (ch /\ th /\ (ph /\ ps))) -> ps)

Proof of Theorem simpr3r
StepHypRef Expression
1 simp3r 905 . 2 |- ((ch /\ th /\ (ph /\ ps)) -> ps)
21adantl 424 1 |- ((ta /\ (ch /\ th /\ (ph /\ ps))) -> ps)
Colors of variables: wff set class
Syntax hints:   -> wi 3   /\ wa 240   /\ w3a 858
This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7
This theorem depends on definitions:  df-bi 164  df-an 242  df-3an 860
Copyright terms: Public domain