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Mirrors > Home > NFE Home > Th. List > equid1ALT | Unicode version |
Description: Identity law for equality (reflexivity). Lemma 6 of [Tarski] p. 68. Alternate proof of equid1 2158 from older axioms ax-6o 2137 and ax-9o 2138. (Contributed by NM, 5-Aug-1993.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
equid1ALT |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-12o 2142 |
. . . . 5
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2 | 1 | pm2.43i 43 |
. . . 4
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3 | 2 | alimi 1559 |
. . 3
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4 | ax-9o 2138 |
. . 3
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5 | 3, 4 | syl 15 |
. 2
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6 | ax-6o 2137 |
. 2
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7 | 5, 6 | pm2.61i 156 |
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-6o 2137 ax-9o 2138 ax-12o 2142 |
This theorem is referenced by: (None) |
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