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Mirrors > Home > MPE Home > Th. List > Mathboxes > iotavalsb | Structured version Visualization version Unicode version |
Description: Theorem *14.242 in [WhiteheadRussell] p. 192. (Contributed by Andrew Salmon, 11-Jul-2011.) |
Ref | Expression |
---|---|
iotavalsb |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.8a 1955 |
. 2
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2 | df-eu 2323 |
. . 3
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3 | iotavalb 36851 |
. . . 4
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4 | dfsbcq 3257 |
. . . . 5
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5 | 4 | eqcoms 2479 |
. . . 4
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6 | 3, 5 | syl6bi 236 |
. . 3
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7 | 2, 6 | sylbir 218 |
. 2
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8 | 1, 7 | mpcom 36 |
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 ax-ext 2451 |
This theorem depends on definitions: df-bi 190 df-or 377 df-an 378 df-tru 1455 df-ex 1672 df-nf 1676 df-sb 1806 df-eu 2323 df-mo 2324 df-clab 2458 df-cleq 2464 df-clel 2467 df-nfc 2601 df-rex 2762 df-v 3033 df-sbc 3256 df-un 3395 df-sn 3960 df-pr 3962 df-uni 4191 df-iota 5553 |
This theorem is referenced by: (None) |
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