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Mirrors > Home > ILE Home > Th. List > equtr2 | Unicode version |
Description: A transitive law for equality. (Contributed by NM, 12-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
equtr2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equtrr 1636 | . . 3 | |
2 | 1 | equcoms 1634 | . 2 |
3 | 2 | impcom 123 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-gen 1378 ax-ie2 1423 ax-8 1435 ax-17 1459 ax-i9 1463 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: mo23 1982 euequ1 2036 |
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