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Mirrors > Home > MPE Home > Th. List > eqrelriv | Structured version Visualization version Unicode version |
Description: Inference from extensionality principle for relations. (Contributed by FL, 15-Oct-2012.) |
Ref | Expression |
---|---|
eqrelriv.1 |
Ref | Expression |
---|---|
eqrelriv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqrelriv.1 | . . 3 | |
2 | 1 | gen2 1723 | . 2 |
3 | eqrel 5209 | . 2 | |
4 | 2, 3 | mpbiri 248 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wal 1481 wceq 1483 wcel 1990 cop 4183 wrel 5119 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-in 3581 df-ss 3588 df-opab 4713 df-xp 5120 df-rel 5121 |
This theorem is referenced by: eqrelriiv 5214 dfrel2 5583 coi1 5651 cnviin 5672 |
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