Theorem 2p1e3 9066

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 8993	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2191	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1363  (class class class)co 5888   1c1 7826   + caddc 7828   2c2 8984   3c3 8985

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 1457  ax-gen 1459  ax-ext 2169

This theorem depends on definitions:  df-bi 117  df-cleq 2180  df-3 8993

This theorem is referenced by:  1p2e3  9067  cnm2m1cnm3  9184  6t5e30  9504  7t5e35  9509  8t4e32  9514  9t4e36  9521  decbin3  9539  halfthird  9540  fz0to3un2pr  10137  m1modge3gt1  10385  fac3  10726  hash3  10807  nn0o1gt2  11924  flodddiv4  11953  2lgsoddprmlem3c  14753