Theorem 1p1e2 8033

Description: 1 + 1 = 2. (Contributed by NM, 1-Apr-2008.)

Assertion

Ref	Expression
1p1e2	⊢ (1 + 1) = 2

Proof of Theorem 1p1e2

Step	Hyp	Ref	Expression
1		df-2 7973	. 2 ⊢ 2 = (1 + 1)
2	1	eqcomi 2044	1 ⊢ (1 + 1) = 2

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

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-2 7973

This theorem is referenced by:  2m1e1  8034  add1p1  8174  sub1m1  8175  nn0n0n1ge2  8311  10p10e20  8437  5t4e20  8442  6t4e24  8446  7t3e21  8450  8t3e24  8456  9t3e27  8463  fldiv4p1lem1div2  9147