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Mirrors > Home > MPE Home > Th. List > eqrdOLD | Structured version Visualization version Unicode version |
Description: Obsolete proof of eqrd 3622 as of 1-Dec-2021. (Contributed by Thierry Arnoux, 21-Mar-2017.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
eqrd.0 | |
eqrd.1 | |
eqrd.2 | |
eqrd.3 |
Ref | Expression |
---|---|
eqrdOLD |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqrd.0 | . . 3 | |
2 | eqrd.1 | . . 3 | |
3 | eqrd.2 | . . 3 | |
4 | eqrd.3 | . . . 4 | |
5 | 4 | biimpd 219 | . . 3 |
6 | 1, 2, 3, 5 | ssrd 3608 | . 2 |
7 | 4 | biimprd 238 | . . 3 |
8 | 1, 3, 2, 7 | ssrd 3608 | . 2 |
9 | 6, 8 | eqssd 3620 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wceq 1483 wnf 1708 wcel 1990 wnfc 2751 |
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-nfc 2753 df-in 3581 df-ss 3588 |
This theorem is referenced by: (None) |
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