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Mirrors > Home > MPE Home > Th. List > rmoi | Structured version Visualization version Unicode version |
Description: Consequence of "at most one", using implicit substitution. (Contributed by NM, 4-Nov-2012.) (Revised by NM, 16-Jun-2017.) |
Ref | Expression |
---|---|
rmoi.b | |
rmoi.c |
Ref | Expression |
---|---|
rmoi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rmoi.b | . . 3 | |
2 | rmoi.c | . . 3 | |
3 | 1, 2 | rmob 3529 | . 2 |
4 | 3 | biimp3ar 1433 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 w3a 1037 wceq 1483 wcel 1990 wrmo 2915 |
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-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-eu 2474 df-mo 2475 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-rmo 2920 df-v 3202 |
This theorem is referenced by: eqsqrtd 14107 efgred2 18166 0frgp 18192 frgpnabllem2 18277 frgpcyg 19922 cdleme0moN 35512 proot1mul 37777 |
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