![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > eqbrtrd | Structured version Visualization version Unicode version |
Description: Substitution of equal classes into a binary relation. (Contributed by NM, 8-Oct-1999.) |
Ref | Expression |
---|---|
eqbrtrd.1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
eqbrtrd.2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
eqbrtrd |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqbrtrd.2 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | eqbrtrd.1 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 2 | breq1d 4405 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | 1, 3 | mpbird 240 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Copyright terms: Public domain | W3C validator |