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

Theorem ex-an 26671
Description: Example for df-an 385. Example by David A. Wheeler. (Contributed by Mario Carneiro, 9-May-2015.)
Assertion
Ref Expression
ex-an (2 = 2 ∧ 3 = 3)

Proof of Theorem ex-an
StepHypRef Expression
1 eqid 2610 . 2 2 = 2
2 eqid 2610 . 2 3 = 3
31, 2pm3.2i 470 1 (2 = 2 ∧ 3 = 3)
Colors of variables: wff setvar class
Syntax hints:  wa 383   = wceq 1475  2c2 10947  3c3 10948
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713  ax-ext 2590
This theorem depends on definitions:  df-bi 196  df-an 385  df-cleq 2603
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator