Metamath Proof Explorer


Definition df-frac

Description: Define the field of fractions of a given integral domain. (Contributed by Thierry Arnoux, 26-Apr-2025)

Ref Expression
Assertion df-frac Could not format assertion : No typesetting found for |- Frac = ( r e. _V |-> ( r RLocal ( RLReg ` r ) ) ) with typecode |-

Detailed syntax breakdown

Step Hyp Ref Expression
0 cfrac Could not format Frac : No typesetting found for class Frac with typecode class
1 vr setvar r
2 cvv class V
3 1 cv setvar r
4 crloc Could not format RLocal : No typesetting found for class RLocal with typecode class
5 crlreg class RLReg
6 3 5 cfv class RLReg r
7 3 6 4 co Could not format ( r RLocal ( RLReg ` r ) ) : No typesetting found for class ( r RLocal ( RLReg ` r ) ) with typecode class
8 1 2 7 cmpt Could not format ( r e. _V |-> ( r RLocal ( RLReg ` r ) ) ) : No typesetting found for class ( r e. _V |-> ( r RLocal ( RLReg ` r ) ) ) with typecode class
9 0 8 wceq Could not format Frac = ( r e. _V |-> ( r RLocal ( RLReg ` r ) ) ) : No typesetting found for wff Frac = ( r e. _V |-> ( r RLocal ( RLReg ` r ) ) ) with typecode wff