Description: An n-ary (endo)function on a set X expressed as a function over the set of words on X of length n . (Contributed by AV, 4-Jun-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | naryfvalelwrdf | Could not format assertion : No typesetting found for |- ( ( N e. NN0 /\ X e. V ) -> ( F e. ( N -aryF X ) <-> F : { w e. Word X | ( # ` w ) = N } --> X ) ) with typecode |- |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid | |
|
2 | 1 | naryfvalel | Could not format ( ( N e. NN0 /\ X e. V ) -> ( F e. ( N -aryF X ) <-> F : ( X ^m ( 0 ..^ N ) ) --> X ) ) : No typesetting found for |- ( ( N e. NN0 /\ X e. V ) -> ( F e. ( N -aryF X ) <-> F : ( X ^m ( 0 ..^ N ) ) --> X ) ) with typecode |- |
3 | wrdnval | |
|
4 | 3 | ancoms | |
5 | 4 | feq2d | |
6 | 2 5 | bitr4d | Could not format ( ( N e. NN0 /\ X e. V ) -> ( F e. ( N -aryF X ) <-> F : { w e. Word X | ( # ` w ) = N } --> X ) ) : No typesetting found for |- ( ( N e. NN0 /\ X e. V ) -> ( F e. ( N -aryF X ) <-> F : { w e. Word X | ( # ` w ) = N } --> X ) ) with typecode |- |