Theorem 2p1e3 8610

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 8543	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2093	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1290  (class class class)co 5666   1c1 7412   + caddc 7414   2c2 8534   3c3 8535

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1382  ax-gen 1384  ax-ext 2071

This theorem depends on definitions:  df-bi 116  df-cleq 2082  df-3 8543

This theorem is referenced by:  1p2e3  8611  cnm2m1cnm3  8728  6t5e30  9044  7t5e35  9049  8t4e32  9054  9t4e36  9061  decbin3  9079  m1modge3gt1  9839  fac3  10201  hash3  10282  nn0o1gt2  11244  flodddiv4  11273