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Theorem 1p1e2apr1 20839
Description: One plus one equals two. Using proof-shortening techniques pioneered by Mr. Mel O'Cat, along with the latest supercomputer technology, Prof. Loof Lirpa and colleagues were able to shorten Whitehead and Russell's 360-page proof that 1+1=2 in Principia Mathematica to this remarkable proof only two steps long, thus establishing a new world's record for this famous theorem. (Contributed by Prof. Loof Lirpa, 1-Apr-2008.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
1p1e2apr1  |-  ( 1  +  1 )  =  2

Proof of Theorem 1p1e2apr1
StepHypRef Expression
1 df-2 9804 . 2  |-  2  =  ( 1  +  1 )
21eqcomi 2287 1  |-  ( 1  +  1 )  =  2
Colors of variables: wff set class
Syntax hints:    = wceq 1623  (class class class)co 5858   1c1 8738    + caddc 8740   2c2 9795
This theorem is referenced by:  pellfundgt1  26968
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1533  ax-5 1544  ax-ext 2264
This theorem depends on definitions:  df-bi 177  df-cleq 2276  df-2 9804
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