ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  3p1e4 Unicode version

Theorem 3p1e4 8867
Description: 3 + 1 = 4. (Contributed by Mario Carneiro, 18-Apr-2015.)
Assertion
Ref Expression
3p1e4  |-  ( 3  +  1 )  =  4

Proof of Theorem 3p1e4
StepHypRef Expression
1 df-4 8793 . 2  |-  4  =  ( 3  +  1 )
21eqcomi 2143 1  |-  ( 3  +  1 )  =  4
Colors of variables: wff set class
Syntax hints:    = wceq 1331  (class class class)co 5774   1c1 7633    + caddc 7635   3c3 8784   4c4 8785
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1423  ax-gen 1425  ax-ext 2121
This theorem depends on definitions:  df-bi 116  df-cleq 2132  df-4 8793
This theorem is referenced by:  7t6e42  9306  8t5e40  9311  9t5e45  9318  fac4  10491  4bc3eq4  10531  hash4  10572  cosq23lt0  12936
  Copyright terms: Public domain W3C validator