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Mirrors > Home > HOLE Home > Th. List > alrimiv | Unicode version |
Description: If one can prove ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
alrimiv.1 |
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Ref | Expression |
---|---|
alrimiv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alrimiv.1 |
. . . 4
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2 | 1 | ax-cb2 30 |
. . 3
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3 | wtru 43 |
. . . 4
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4 | 1 | eqtru 86 |
. . . 4
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5 | 3, 4 | eqcomi 79 |
. . 3
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6 | 2, 5 | leq 91 |
. 2
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7 | 1 | ax-cb1 29 |
. . 3
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8 | 2 | wl 66 |
. . . 4
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9 | 8 | alval 142 |
. . 3
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10 | 7, 9 | a1i 28 |
. 2
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11 | 6, 10 | mpbir 87 |
1
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Colors of variables: type var term |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-syl 15 ax-jca 17 ax-simpl 20 ax-simpr 21 ax-id 24 ax-trud 26 ax-cb1 29 ax-cb2 30 ax-wctl 31 ax-wctr 32 ax-weq 40 ax-refl 42 ax-eqmp 45 ax-ded 46 ax-wct 47 ax-wc 49 ax-ceq 51 ax-wv 63 ax-wl 65 ax-beta 67 ax-distrc 68 ax-leq 69 ax-wov 71 ax-eqtypi 77 ax-eqtypri 80 ax-hbl1 103 ax-17 105 ax-inst 113 |
This theorem depends on definitions: df-ov 73 df-al 126 |
This theorem is referenced by: exlimdv2 166 ax4e 168 exlimd 183 axgen 210 ax10 213 ax11 214 axrep 220 axpow 221 axun 222 |
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