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Mathbox for Wolf Lammen |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > wl-sb8t | Structured version Visualization version Unicode version |
Description: Substitution of variable in universal quantifier. Closed form of sb8 2273. (Contributed by Wolf Lammen, 27-Jul-2019.) |
Ref | Expression |
---|---|
wl-sb8t |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfa1 1999 |
. 2
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2 | nfnf1 2001 |
. . 3
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3 | 2 | nfal 2049 |
. 2
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4 | sp 1957 |
. 2
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5 | wl-nfs1t 31941 |
. . 3
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6 | 5 | sps 1963 |
. 2
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7 | sbequ12 2098 |
. . 3
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8 | 7 | a1i 11 |
. 2
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9 | 1, 3, 4, 6, 8 | cbv2 2126 |
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 1677 ax-4 1690 ax-5 1766 ax-6 1813 ax-7 1859 ax-10 1932 ax-11 1937 ax-12 1950 ax-13 2104 |
This theorem depends on definitions: df-bi 190 df-an 378 df-ex 1672 df-nf 1676 df-sb 1806 |
This theorem is referenced by: wl-sb8et 31951 wl-sbhbt 31952 |
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