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Mirrors > Home > HOLE Home > Th. List > insti | Unicode version |
Description: Instantiate a theorem with a new term. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
insti.1 |
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insti.2 |
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insti.3 |
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insti.4 |
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insti.5 |
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Ref | Expression |
---|---|
insti |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | insti.3 |
. 2
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2 | insti.4 |
. 2
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3 | 1 | ax-cb1 29 |
. . 3
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4 | wv 64 |
. . 3
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5 | 3, 4 | ax-17 105 |
. 2
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6 | insti.5 |
. 2
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7 | 6 | ax-cb1 29 |
. . 3
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8 | 7, 3 | eqid 83 |
. 2
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9 | 1, 2, 5, 6, 8 | ax-inst 113 |
1
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Colors of variables: type var term |
Syntax hints: tv 1
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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-wv 63 ax-wov 71 ax-17 105 ax-inst 113 |
This theorem depends on definitions: df-ov 73 |
This theorem is referenced by: clf 115 exlimdv 167 cbvf 179 exlimd 183 |
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