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Mirrors > Home > ILE Home > Th. List > equequ2 | Unicode version |
Description: An equivalence law for equality. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
equequ2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equtrr 1596 | . 2 | |
2 | equtrr 1596 | . . 3 | |
3 | 2 | equcoms 1594 | . 2 |
4 | 1, 3 | impbid 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 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: ax11v2 1701 ax11v 1708 ax11ev 1709 equs5or 1711 eujust 1902 euf 1905 mo23 1941 iotaval 4878 dffun4f 4918 dff13f 5409 |
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