Theorem 2p1e3 9118

Description: 2 + 1 = 3. (Contributed by Mario Carneiro, 18-Apr-2015.)

Assertion

Ref	Expression
2p1e3	|- ( 2 + 1 ) = 3

Proof of Theorem 2p1e3

Step	Hyp	Ref	Expression
1		df-3 9044	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2197	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1364  (class class class)co 5919   1c1 7875   + caddc 7877   2c2 9035   3c3 9036

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1458  ax-gen 1460  ax-ext 2175

This theorem depends on definitions:  df-bi 117  df-cleq 2186  df-3 9044

This theorem is referenced by:  1p2e3  9119  cnm2m1cnm3  9237  6t5e30  9557  7t5e35  9562  8t4e32  9567  9t4e36  9574  decbin3  9592  halfthird  9593  fz0to3un2pr  10192  m1modge3gt1  10445  fac3  10806  hash3  10887  nn0o1gt2  12049  flodddiv4  12078  2lgsoddprmlem3c  15266