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Mirrors > Home > ILE Home > Th. List > imaeq2i | Unicode version |
Description: Equality theorem for image. (Contributed by NM, 21-Dec-2008.) |
Ref | Expression |
---|---|
imaeq1i.1 |
Ref | Expression |
---|---|
imaeq2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imaeq1i.1 | . 2 | |
2 | imaeq2 4872 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 cima 4537 |
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-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-un 3070 df-in 3072 df-ss 3079 df-sn 3528 df-pr 3529 df-op 3531 df-br 3925 df-opab 3985 df-xp 4540 df-cnv 4542 df-dm 4544 df-rn 4545 df-res 4546 df-ima 4547 |
This theorem is referenced by: cnvimarndm 4898 dmco 5042 fnimapr 5474 ssimaex 5475 imauni 5655 isoini2 5713 uniqs 6480 fiintim 6810 fidcenumlemrks 6834 fidcenumlemr 6836 nn0supp 9022 ennnfonelem1 11909 ennnfonelemhf1o 11915 retopbas 12681 |
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