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Mirrors > Home > MPE Home > Th. List > riota1 | Structured version Visualization version Unicode version |
Description: Property of restricted iota. Compare iota1 5865. (Contributed by Mario Carneiro, 15-Oct-2016.) |
Ref | Expression |
---|---|
riota1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-reu 2919 | . . 3 | |
2 | iota1 5865 | . . 3 | |
3 | 1, 2 | sylbi 207 | . 2 |
4 | df-riota 6611 | . . 3 | |
5 | 4 | eqeq1i 2627 | . 2 |
6 | 3, 5 | syl6bbr 278 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wceq 1483 wcel 1990 weu 2470 wreu 2914 cio 5849 crio 6610 |
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-eu 2474 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-rex 2918 df-reu 2919 df-v 3202 df-sbc 3436 df-un 3579 df-sn 4178 df-pr 4180 df-uni 4437 df-iota 5851 df-riota 6611 |
This theorem is referenced by: nosupbnd1 31860 nosupbnd2 31862 wessf1ornlem 39371 disjinfi 39380 |
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