Theorem 1e0p1 8395

Description: The successor of zero. (Contributed by Mario Carneiro, 18-Feb-2014.)

Assertion

Ref	Expression
1e0p1	⊢ 1 = (0 + 1)

Proof of Theorem 1e0p1

Step	Hyp	Ref	Expression
1		0p1e1 8031	. 2 ⊢ (0 + 1) = 1
2	1	eqcomi 2044	1 ⊢ 1 = (0 + 1)

Syntax hints:   = wceq 1243  (class class class)co 5512  0cc0 6889  1c1 6890   + caddc 6892

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-ie1 1382  ax-ie2 1383  ax-4 1400  ax-17 1419  ax-ial 1427  ax-ext 2022  ax-1cn 6977  ax-icn 6979  ax-addcl 6980  ax-mulcl 6982  ax-addcom 6984  ax-i2m1 6989  ax-0id 6992

This theorem depends on definitions:  df-bi 110  df-cleq 2033  df-clel 2036

This theorem is referenced by:  6p5e11  8417  7p4e11  8419  8p3e11  8423  9p2e11  8429  fzo01  9072