Theorem 2p1e3 9169

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 9095	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2208	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1372  (class class class)co 5943  1c1 7925   + caddc 7927  2c2 9086  3c3 9087

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 1469  ax-gen 1471  ax-ext 2186

This theorem depends on definitions:  df-bi 117  df-cleq 2197  df-3 9095

This theorem is referenced by:  1p2e3  9170  cnm2m1cnm3  9288  6t5e30  9609  7t5e35  9614  8t4e32  9619  9t4e36  9626  decbin3  9644  halfthird  9645  fz0to3un2pr  10244  m1modge3gt1  10514  fac3  10875  hash3  10956  nn0o1gt2  12158  flodddiv4  12189  3exp3  12703  2lgsoddprmlem3c  15528