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Mirrors > Home > HOLE Home > Th. List > hbxfr | Unicode version |
Description: Transfer a hypothesis builder to an equivalent expression. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
hbxfr.1 |
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hbxfr.2 |
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hbxfr.3 |
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hbxfr.4 |
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Ref | Expression |
---|---|
hbxfr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbxfr.3 |
. . . 4
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2 | 1 | ax-cb1 29 |
. . 3
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3 | 2 | id 25 |
. 2
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4 | hbxfr.1 |
. . 3
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5 | hbxfr.2 |
. . 3
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6 | hbxfr.4 |
. . . 4
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7 | 6, 2 | adantr 55 |
. . 3
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8 | 4, 5, 1, 7 | hbxfrf 107 |
. 2
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9 | 3, 3, 8 | syl2anc 19 |
1
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Colors of variables: type var term |
Syntax hints: kc 5
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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-wc 49 ax-ceq 51 ax-wl 65 ax-leq 69 ax-wov 71 ax-eqtypi 77 ax-eqtypri 80 |
This theorem depends on definitions: df-ov 73 |
This theorem is referenced by: hbth 109 |
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