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Mathbox for Glauco Siliprandi |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > ralimralim | Structured version Visualization version Unicode version |
Description: Introducing any antecedent in a restricted universal quantification. (Contributed by Glauco Siliprandi, 3-Mar-2021.) |
Ref | Expression |
---|---|
ralimralim |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfra1 2941 |
. 2
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2 | rspa 2930 |
. . . 4
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3 | ax-1 6 |
. . . 4
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4 | 2, 3 | syl 17 |
. . 3
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5 | 4 | ex 450 |
. 2
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6 | 1, 5 | ralrimi 2957 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-10 2019 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 df-ral 2917 |
This theorem is referenced by: infxrunb2 39584 |
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