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Mirrors > Home > ILE Home > Th. List > cnveqi | Unicode version |
Description: Equality inference for converse. (Contributed by NM, 23-Dec-2008.) |
Ref | Expression |
---|---|
cnveqi.1 |
Ref | Expression |
---|---|
cnveqi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnveqi.1 | . 2 | |
2 | cnveq 4713 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 ccnv 4538 |
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 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-in 3077 df-ss 3084 df-br 3930 df-opab 3990 df-cnv 4547 |
This theorem is referenced by: mptcnv 4941 cnvxp 4957 xp0 4958 imainrect 4984 cnvcnv 4991 mptpreima 5032 co01 5053 coi2 5055 cocnvres 5063 fcoi1 5303 fun11iun 5388 f1ocnvd 5972 cnvoprab 6131 f1od2 6132 mapsncnv 6589 sbthlemi8 6852 caseinj 6974 djuinj 6991 fisumcom2 11207 |
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