Mathbox for Giovanni Mascellani |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > spsbcdi | Structured version Visualization version Unicode version |
Description: A lemma for eliminating a universal quantifier, in inference form. (Contributed by Giovanni Mascellani, 30-May-2019.) |
Ref | Expression |
---|---|
spsbcdi.1 | |
spsbcdi.2 | |
spsbcdi.3 |
Ref | Expression |
---|---|
spsbcdi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spsbcdi.1 | . . . 4 | |
2 | 1 | a1i 11 | . . 3 |
3 | spsbcdi.2 | . . 3 | |
4 | 2, 3 | spsbcd 3449 | . 2 |
5 | spsbcdi.3 | . 2 | |
6 | 4, 5 | sylib 208 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wal 1481 wcel 1990 cvv 3200 wsbc 3435 |
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-9 1999 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-an 386 df-tru 1486 df-ex 1705 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-v 3202 df-sbc 3436 |
This theorem is referenced by: (None) |
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