![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > f1orel | Unicode version |
Description: A one-to-one onto mapping is a relation. (Contributed by NM, 13-Dec-2003.) |
Ref | Expression |
---|---|
f1orel |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1ofun 5462 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | funrel 5232 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | syl 14 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 |
This theorem depends on definitions: df-bi 117 df-fun 5217 df-fn 5218 df-f 5219 df-f1 5220 df-f1o 5222 |
This theorem is referenced by: f1ococnv1 5489 isores1 5812 ssenen 6848 dif1en 6876 |
Copyright terms: Public domain | W3C validator |