Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > rneqi | Unicode version |
Description: Equality inference for range. (Contributed by NM, 4-Mar-2004.) |
Ref | Expression |
---|---|
rneqi.1 |
Ref | Expression |
---|---|
rneqi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rneqi.1 | . 2 | |
2 | rneq 4561 | . 2 | |
3 | 1, 2 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1243 crn 4346 |
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-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-un 2922 df-in 2924 df-ss 2931 df-sn 3381 df-pr 3382 df-op 3384 df-br 3765 df-opab 3819 df-cnv 4353 df-dm 4355 df-rn 4356 |
This theorem is referenced by: rnmpt 4582 resima 4643 resima2 4644 ima0 4684 rnuni 4735 imaundi 4736 imaundir 4737 inimass 4740 dminxp 4765 imainrect 4766 xpima1 4767 xpima2m 4768 rnresv 4780 imacnvcnv 4785 rnpropg 4800 imadmres 4813 mptpreima 4814 dmco 4829 resdif 5148 fpr 5345 fprg 5346 fliftfuns 5438 rnoprab 5587 rnmpt2 5611 qliftfuns 6190 xpassen 6304 |
Copyright terms: Public domain | W3C validator |