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Mirrors > Home > NFE Home > Th. List > equsalhw | Unicode version |
Description: Weaker version of equsalh 1961 (requiring distinct variables) without using ax-12 1925. (Contributed by NM, 29-Nov-2015.) (Proof shortened by Wolf Lammen, 28-Dec-2017.) |
Ref | Expression |
---|---|
equsalhw.1 |
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equsalhw.2 |
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Ref | Expression |
---|---|
equsalhw |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equsalhw.1 |
. . 3
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2 | 1 | 19.23h 1802 |
. 2
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3 | equsalhw.2 |
. . . 4
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4 | 3 | pm5.74i 236 |
. . 3
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5 | 4 | albii 1566 |
. 2
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6 | a9ev 1656 |
. . 3
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7 | 6 | a1bi 327 |
. 2
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8 | 2, 5, 7 | 3bitr4i 268 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
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-11 1746 |
This theorem depends on definitions: df-bi 177 df-ex 1542 df-nf 1545 |
This theorem is referenced by: dvelimhw 1849 |
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