Theorem 2p1e3 9141

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 9067	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2200	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1364  (class class class)co 5925  1c1 7897   + caddc 7899  2c2 9058  3c3 9059

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 1461  ax-gen 1463  ax-ext 2178

This theorem depends on definitions:  df-bi 117  df-cleq 2189  df-3 9067

This theorem is referenced by:  1p2e3  9142  cnm2m1cnm3  9260  6t5e30  9580  7t5e35  9585  8t4e32  9590  9t4e36  9597  decbin3  9615  halfthird  9616  fz0to3un2pr  10215  m1modge3gt1  10480  fac3  10841  hash3  10922  nn0o1gt2  12087  flodddiv4  12118  3exp3  12632  2lgsoddprmlem3c  15434