Theorem 1e0p1 8171

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 7809	. 2 |- ( 0 + 1) = 1
2	1	eqcomi 2041	1 |- 1 = ( 0 + 1)

Syntax hints:   = wceq 1242  (class class class)co 5455   0cc0 6711   1c1 6712   + caddc 6714

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 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-17 1416  ax-ial 1424  ax-ext 2019  ax-1cn 6776  ax-icn 6778  ax-addcl 6779  ax-mulcl 6781  ax-addcom 6783  ax-i2m1 6788  ax-0id 6791

This theorem depends on definitions:  df-bi 110  df-cleq 2030  df-clel 2033

This theorem is referenced by:  6p5e11  8193  7p4e11  8195  8p3e11  8199  9p2e11  8205  fzo01  8842