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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 1596 | . . 3 | |
2 | 1 | equcoms 1594 | . 2 |
3 | 2 | impcom 116 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-gen 1338 ax-ie2 1383 ax-8 1395 ax-17 1419 ax-i9 1423 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: mo23 1941 euequ1 1995 |
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