ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  1p1e2 Unicode version

Theorem 1p1e2 7811
Description: 1 + 1 = 2. (Contributed by NM, 1-Apr-2008.)
Assertion
Ref Expression
1p1e2  1  +  1  2

Proof of Theorem 1p1e2
StepHypRef Expression
1 df-2 7753 . 2  2  1  +  1
21eqcomi 2041 1  1  +  1  2
Colors of variables: wff set class
Syntax hints:   wceq 1242  (class class class)co 5455   1c1 6712    + caddc 6714   2c2 7744
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-cleq 2030  df-2 7753
This theorem is referenced by:  2m1e1  7812  add1p1  7951  sub1m1  7952  nn0n0n1ge2  8087  10p10e20  8213  5t4e20  8218  6t4e24  8222  7t3e21  8226  8t3e24  8232  9t3e27  8239
  Copyright terms: Public domain W3C validator