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Mirrors > Home > MPE Home > Th. List > Mathboxes > pm13.196a | Structured version Visualization version Unicode version |
Description: Theorem *13.196 in [WhiteheadRussell] p. 179. The only difference is the position of the substituted variable. (Contributed by Andrew Salmon, 3-Jun-2011.) |
Ref | Expression |
---|---|
pm13.196a |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbelx 2458 | . 2 | |
2 | sb56 2150 | . 2 | |
3 | sbn 2391 | . . . . 5 | |
4 | 3 | imbi2i 326 | . . . 4 |
5 | con2b 349 | . . . 4 | |
6 | df-ne 2795 | . . . . . 6 | |
7 | 6 | bicomi 214 | . . . . 5 |
8 | 7 | imbi2i 326 | . . . 4 |
9 | 4, 5, 8 | 3bitri 286 | . . 3 |
10 | 9 | albii 1747 | . 2 |
11 | 1, 2, 10 | 3bitri 286 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wa 384 wal 1481 wex 1704 wsb 1880 wne 2794 |
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 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 df-sb 1881 df-ne 2795 |
This theorem is referenced by: (None) |
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