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Mirrors > Home > HOLE Home > Th. List > hbl | Unicode version |
Description: Hypothesis builder for lambda abstraction. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
hbl.1 |
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hbl.2 |
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hbl.3 |
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Ref | Expression |
---|---|
hbl |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbl.1 |
. . . . 5
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2 | 1 | wl 66 |
. . . 4
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3 | 2 | wl 66 |
. . 3
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4 | hbl.2 |
. . 3
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5 | 3, 4 | wc 50 |
. 2
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6 | hbl.3 |
. . . 4
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7 | 6 | ax-cb1 29 |
. . 3
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8 | 1, 4 | distrl 94 |
. . 3
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9 | 7, 8 | a1i 28 |
. 2
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10 | 1 | wl 66 |
. . . 4
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11 | 10, 4 | wc 50 |
. . 3
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12 | 11, 6 | leq 91 |
. 2
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13 | 5, 9, 12 | eqtri 95 |
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-trud 26 ax-cb1 29 ax-cb2 30 ax-weq 40 ax-refl 42 ax-eqmp 45 ax-wc 49 ax-ceq 51 ax-wl 65 ax-leq 69 ax-distrl 70 ax-wov 71 ax-eqtypi 77 |
This theorem depends on definitions: df-ov 73 |
This theorem is referenced by: cbvf 179 ax7 209 axrep 220 |
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