![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > equequ1 | Unicode version |
Description: An equivalence law for equality. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
equequ1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-8 1441 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | equtr 1643 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | impbid 128 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-gen 1384 ax-ie2 1429 ax-8 1441 ax-17 1465 ax-i9 1469 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: equveli 1690 drsb1 1728 equsb3lem 1873 euequ1 2044 axext3 2072 reu6 2807 reu7 2813 disjiun 3848 cbviota 5000 dff13f 5565 poxp 6013 dcdifsnid 6279 supmoti 6744 isoti 6758 fsum2dlemstep 10891 |
Copyright terms: Public domain | W3C validator |