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Mirrors > Home > ILE Home > Th. List > iineq2i | Unicode version |
Description: Equality inference for indexed intersection. (Contributed by NM, 22-Oct-2003.) |
Ref | Expression |
---|---|
iuneq2i.1 |
Ref | Expression |
---|---|
iineq2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iineq2 3888 | . 2 | |
2 | iuneq2i.1 | . 2 | |
3 | 1, 2 | mprg 2527 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1348 wcel 2141 ciin 3872 |
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 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-11 1499 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-ral 2453 df-iin 3874 |
This theorem is referenced by: iinrabm 3933 iinin1m 3940 |
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