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Mirrors > Home > NFE Home > Th. List > equidq | Unicode version |
Description: equid 1676 with universal quantifier without using ax-4 2135 or ax-17 1616. (Contributed by NM, 13-Jan-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
equidq |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equidqe 2173 |
. 2
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2 | ax6 2147 |
. . 3
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3 | hbequid 2160 |
. . . 4
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4 | 3 | con3i 127 |
. . 3
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5 | 2, 4 | alrimih 1565 |
. 2
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6 | 1, 5 | mt3 171 |
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-8 1675 ax-4 2135 ax-5o 2136 ax-6o 2137 ax-9o 2138 ax-12o 2142 |
This theorem is referenced by: (None) |
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