ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  2p1e3 Unicode version

Theorem 2p1e3 8610
Description: 2 + 1 = 3. (Contributed by Mario Carneiro, 18-Apr-2015.)
Assertion
Ref Expression
2p1e3  |-  ( 2  +  1 )  =  3

Proof of Theorem 2p1e3
StepHypRef Expression
1 df-3 8543 . 2  |-  3  =  ( 2  +  1 )
21eqcomi 2093 1  |-  ( 2  +  1 )  =  3
Colors of variables: wff set class
Syntax hints:    = wceq 1290  (class class class)co 5666   1c1 7412    + caddc 7414   2c2 8534   3c3 8535
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1382  ax-gen 1384  ax-ext 2071
This theorem depends on definitions:  df-bi 116  df-cleq 2082  df-3 8543
This theorem is referenced by:  1p2e3  8611  cnm2m1cnm3  8728  6t5e30  9044  7t5e35  9049  8t4e32  9054  9t4e36  9061  decbin3  9079  m1modge3gt1  9839  fac3  10201  hash3  10282  nn0o1gt2  11244  flodddiv4  11273
  Copyright terms: Public domain W3C validator