MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-1o Structured version   Visualization version   GIF version

Definition df-1o 7560
Description: Define the ordinal number 1. (Contributed by NM, 29-Oct-1995.)
Assertion
Ref Expression
df-1o 1𝑜 = suc ∅

Detailed syntax breakdown of Definition df-1o
StepHypRef Expression
1 c1o 7553 . 2 class 1𝑜
2 c0 3915 . . 3 class
32csuc 5725 . 2 class suc ∅
41, 3wceq 1483 1 wff 1𝑜 = suc ∅
Colors of variables: wff setvar class
This definition is referenced by:  1on  7567  df1o2  7572  ordgt0ge1  7577  oa1suc  7611  om1  7622  oe1  7624  oelim2  7675  nnecl  7693  1onn  7719  omabs  7727  nnm1  7728  0sdom1dom  8158  ackbij1lem14  9055  aleph1  9393  cfpwsdom  9406  nlt1pi  9728  indpi  9729  hash1  13192  aleph1re  14974  bnj168  30798  sltval2  31809  sltsolem1  31826  nosepnelem  31830  nolt02o  31845  rankeq1o  32278  bj-1ex  32938  finxp1o  33229  finxpreclem4  33231  finxp00  33239  clsk1indlem1  38343
  Copyright terms: Public domain W3C validator