Theorem 1p1e2apr1

Description: One plus one equals two. Using proof-shortening techniques pioneered by Mr. Mel L. 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 inPrincipia 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.)

	Ref	Expression
Assertion	1p1e2apr1	$$⊢1+1=2$$

Proof

Step	Hyp	Ref	Expression
1		df-2	$$⊢2=1+1$$
2	1	eqcomi	$$⊢1+1=2$$