Theorem 2p1e3 9051

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 8978	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2181	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1353  (class class class)co 5874   1c1 7811   + caddc 7813   2c2 8969   3c3 8970

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 8978

This theorem is referenced by:  1p2e3  9052  cnm2m1cnm3  9169  6t5e30  9489  7t5e35  9494  8t4e32  9499  9t4e36  9506  decbin3  9524  halfthird  9525  fz0to3un2pr  10122  m1modge3gt1  10370  fac3  10711  hash3  10792  nn0o1gt2  11909  flodddiv4  11938  2lgsoddprmlem3c  14427