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Mirrors > Home > ILE Home > Th. List > spimh | Unicode version |
Description: Specialization, using implicit substitition. Compare Lemma 14 of [Tarski] p. 70. The spim 1717 series of theorems requires that only one direction of the substitution hypothesis hold. (Contributed by NM, 5-Aug-1993.) (Revised by NM, 8-May-2008.) (New usage is discouraged.) |
Ref | Expression |
---|---|
spimh.1 |
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spimh.2 |
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Ref | Expression |
---|---|
spimh |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spimh.2 |
. . . 4
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2 | spimh.1 |
. . . 4
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3 | 1, 2 | syl6com 35 |
. . 3
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4 | 3 | alimi 1432 |
. 2
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5 | ax9o 1677 |
. 2
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6 | 4, 5 | syl 14 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-i9 1511 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: spim 1717 |
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