Theorem 2p1e3 9115

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 9042	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2197	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1364  (class class class)co 5918  1c1 7873   + caddc 7875  2c2 9033  3c3 9034

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 9042

This theorem is referenced by:  1p2e3  9116  cnm2m1cnm3  9234  6t5e30  9554  7t5e35  9559  8t4e32  9564  9t4e36  9571  decbin3  9589  halfthird  9590  fz0to3un2pr  10189  m1modge3gt1  10442  fac3  10803  hash3  10884  nn0o1gt2  12046  flodddiv4  12075  2lgsoddprmlem3c  15197