MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  simpr3lOLD Structured version   Visualization version   GIF version

Theorem simpr3lOLD 1299
Description: Obsolete version of simpr3l 1298 as of 24-Jun-2022. (Contributed by NM, 9-Mar-2012.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
simpr3lOLD ((𝜏 ∧ (𝜒𝜃 ∧ (𝜑𝜓))) → 𝜑)

Proof of Theorem simpr3lOLD
StepHypRef Expression
1 simp3l 1243 . 2 ((𝜒𝜃 ∧ (𝜑𝜓)) → 𝜑)
21adantl 467 1 ((𝜏 ∧ (𝜒𝜃 ∧ (𝜑𝜓))) → 𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 382  w3a 1071
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 383  df-3an 1073
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator