Theorem 2p1e3 8043

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 7974	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2044	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1243  (class class class)co 5512  1c1 6890   + caddc 6892  2c2 7964  3c3 7965

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-gen 1338  ax-ext 2022

This theorem depends on definitions:  df-bi 110  df-cleq 2033  df-3 7974

This theorem is referenced by:  1p2e3  8044  cnm2m1cnm3  8176  6t5e30  8447  7t5e35  8452  8t4e32  8457  9t4e36  8464  decbin3  8472