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Mirrors > Home > ILE Home > Th. List > pweqi | Unicode version |
Description: Equality inference for power class. (Contributed by NM, 27-Nov-2013.) |
Ref | Expression |
---|---|
pweqi.1 |
Ref | Expression |
---|---|
pweqi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pweqi.1 | . 2 | |
2 | pweq 3567 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1348 cpw 3564 |
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-in 3127 df-ss 3134 df-pw 3566 |
This theorem is referenced by: exmidpw 6884 exmidpweq 6885 pw1dom2 7197 pw1ne1 7199 mnfnre 7955 fmelpw1o 13806 |
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