Theorem 3p1e4 9419

Description: 3 + 1 = 4. (Contributed by Mario Carneiro, 18-Apr-2015.)

Assertion

Ref	Expression
3p1e4	⊢ (3 + 1) = 4

Proof of Theorem 3p1e4

Step	Hyp	Ref	Expression
1		df-4 9344	. 2 ⊢ 4 = (3 + 1)
2	1	eqcomi 2242	1 ⊢ (3 + 1) = 4

Syntax hints:   = wceq 1402  (class class class)co 6075  1c1 8170   + caddc 8172  3c3 9335  4c4 9336

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 1500  ax-gen 1502  ax-ext 2220

This theorem depends on definitions:  df-bi 117  df-cleq 2231  df-4 9344

This theorem is referenced by:  7t6e42  9868  8t5e40  9873  9t5e45  9880  fac4  11149  4bc3eq4  11190  hash4  11233  2exp16  13194  cosq23lt0  15857  binom4  16004