Theorem 2p1e3 8549

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 8482	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2092	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1289  (class class class)co 5652  1c1 7351   + caddc 7353  2c2 8473  3c3 8474

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1381  ax-gen 1383  ax-ext 2070

This theorem depends on definitions:  df-bi 115  df-cleq 2081  df-3 8482

This theorem is referenced by:  1p2e3  8550  cnm2m1cnm3  8667  6t5e30  8983  7t5e35  8988  8t4e32  8993  9t4e36  9000  decbin3  9018  m1modge3gt1  9778  fac3  10140  hash3  10221  nn0o1gt2  11183  flodddiv4  11212