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Mirrors > Home > NFE Home > Th. List > eu1 | Unicode version |
Description: An alternate way to express uniqueness used by some authors. Exercise 2(b) of [Margaris] p. 110. (Contributed by NM, 20-Aug-1993.) (Revised by Mario Carneiro, 7-Oct-2016.) |
Ref | Expression |
---|---|
eu1.1 |
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Ref | Expression |
---|---|
eu1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfs1v 2106 |
. . 3
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2 | 1 | euf 2210 |
. 2
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3 | eu1.1 |
. . 3
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4 | 3 | sb8eu 2222 |
. 2
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5 | equcom 1680 |
. . . . . . 7
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6 | 5 | imbi2i 303 |
. . . . . 6
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7 | 6 | albii 1566 |
. . . . 5
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8 | 3 | sb6rf 2091 |
. . . . 5
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9 | 7, 8 | anbi12i 678 |
. . . 4
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10 | ancom 437 |
. . . 4
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11 | albiim 1611 |
. . . 4
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12 | 9, 10, 11 | 3bitr4i 268 |
. . 3
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13 | 12 | exbii 1582 |
. 2
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14 | 2, 4, 13 | 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-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-eu 2208 |
This theorem is referenced by: euex 2227 eu2 2229 fvfullfunlem1 5862 |
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