Metamath Proof Explorer


Definition df-old

Description: Define the older than function. This function carries an ordinal to all surreals made by a previous ordinal. Definition from Conway p. 29. (Contributed by Scott Fenton, 17-Dec-2021)

Ref Expression
Assertion df-old Could not format assertion : No typesetting found for |- _Old = ( x e. On |-> U. ( _Made " x ) ) with typecode |-

Detailed syntax breakdown

Step Hyp Ref Expression
0 cold classOld
1 vx setvarx
2 con0 classOn
3 cmade Could not format _Made : No typesetting found for class _Made with typecode class
4 1 cv setvarx
5 3 4 cima Could not format ( _Made " x ) : No typesetting found for class ( _Made " x ) with typecode class
6 5 cuni Could not format U. ( _Made " x ) : No typesetting found for class U. ( _Made " x ) with typecode class
7 1 2 6 cmpt Could not format ( x e. On |-> U. ( _Made " x ) ) : No typesetting found for class ( x e. On |-> U. ( _Made " x ) ) with typecode class
8 0 7 wceq Could not format _Old = ( x e. On |-> U. ( _Made " x ) ) : No typesetting found for wff _Old = ( x e. On |-> U. ( _Made " x ) ) with typecode wff