Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > sylan9req | Unicode version |
Description: An equality transitivity deduction. (Contributed by NM, 23-Jun-2007.) |
Ref | Expression |
---|---|
sylan9req.1 | |
sylan9req.2 |
Ref | Expression |
---|---|
sylan9req |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylan9req.1 | . . 3 | |
2 | 1 | eqcomd 2170 | . 2 |
3 | sylan9req.2 | . 2 | |
4 | 2, 3 | sylan9eq 2217 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wceq 1342 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1434 ax-gen 1436 ax-4 1497 ax-17 1513 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-cleq 2157 |
This theorem is referenced by: fndmu 5283 fodmrnu 5412 funcoeqres 5457 fvunsng 5673 prarloclem5 7432 addlocprlemeq 7465 zdiv 9270 resqrexlemnm 10946 fprodssdc 11517 dvdsmulc 11745 cncongrcoprm 12017 |
Copyright terms: Public domain | W3C validator |