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Mirrors > Home > MPE Home > Th. List > Mathboxes > frege59c | Structured version Visualization version Unicode version |
Description: A kind of Aristotelian
inference. Proposition 59 of [Frege1879] p.
51.
Note: in the Bauer-Meenfelberg translation published in van Heijenoort's collection From Frege to Goedel, this proof has the frege12 38107 incorrectly referenced where frege30 38126 is in the original. (Contributed by RP, 24-Dec-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
frege59c.a |
Ref | Expression |
---|---|
frege59c |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | frege59c.a | . . . 4 | |
2 | 1 | frege58c 38215 | . . 3 |
3 | sbcim1 3482 | . . 3 | |
4 | 2, 3 | syl 17 | . 2 |
5 | frege30 38126 | . 2 | |
6 | 4, 5 | ax-mp 5 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wal 1481 wcel 1990 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-10 2019 ax-12 2047 ax-13 2246 ax-ext 2602 ax-frege1 38084 ax-frege2 38085 ax-frege8 38103 ax-frege28 38124 ax-frege58b 38195 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 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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