New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > NFE Home > Th. List > rneqd | Unicode version |
Description: Equality deduction for range. (Contributed by set.mm contributors, 4-Mar-2004.) |
Ref | Expression |
---|---|
rneqd.1 |
Ref | Expression |
---|---|
rneqd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rneqd.1 | . 2 | |
2 | rneq 4956 | . 2 | |
3 | 1, 2 | syl 15 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wceq 1642 crn 4773 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-rex 2620 df-br 4640 df-ima 4727 df-rn 4786 |
This theorem is referenced by: resima2 5007 resiima 5012 rnxpid 5054 elxp4 5108 funimacnv 5168 fnima 5201 |
Copyright terms: Public domain | W3C validator |