Metamath Proof Explorer


Definition df-subs

Description: Define surreal subtraction. (Contributed by Scott Fenton, 20-Aug-2024)

Ref Expression
Assertion df-subs Could not format assertion : No typesetting found for |- -s = ( x e. No , y e. No |-> ( x +s ( -us ` y ) ) ) with typecode |-

Detailed syntax breakdown

Step Hyp Ref Expression
0 csubs Could not format -s : No typesetting found for class -s with typecode class
1 vx setvar x
2 csur class No
3 vy setvar y
4 1 cv setvar x
5 cadds Could not format +s : No typesetting found for class +s with typecode class
6 cnegs Could not format -us : No typesetting found for class -us with typecode class
7 3 cv setvar y
8 7 6 cfv Could not format ( -us ` y ) : No typesetting found for class ( -us ` y ) with typecode class
9 4 8 5 co Could not format ( x +s ( -us ` y ) ) : No typesetting found for class ( x +s ( -us ` y ) ) with typecode class
10 1 3 2 2 9 cmpo Could not format ( x e. No , y e. No |-> ( x +s ( -us ` y ) ) ) : No typesetting found for class ( x e. No , y e. No |-> ( x +s ( -us ` y ) ) ) with typecode class
11 0 10 wceq Could not format -s = ( x e. No , y e. No |-> ( x +s ( -us ` y ) ) ) : No typesetting found for wff -s = ( x e. No , y e. No |-> ( x +s ( -us ` y ) ) ) with typecode wff