Theorem 2p1e3 9054

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 8981	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2181	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1353  (class class class)co 5877  1c1 7814   + caddc 7816  2c2 8972  3c3 8973

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 1447  ax-gen 1449  ax-ext 2159

This theorem depends on definitions:  df-bi 117  df-cleq 2170  df-3 8981

This theorem is referenced by:  1p2e3  9055  cnm2m1cnm3  9172  6t5e30  9492  7t5e35  9497  8t4e32  9502  9t4e36  9509  decbin3  9527  halfthird  9528  fz0to3un2pr  10125  m1modge3gt1  10373  fac3  10714  hash3  10795  nn0o1gt2  11912  flodddiv4  11941  2lgsoddprmlem3c  14542