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Mirrors > Home > ILE Home > Th. List > stoic4a | Unicode version |
Description: Stoic logic Thema 4
version a.
Statement T4 of [Bobzien] p. 117 shows a reconstructed version of Stoic logic thema 4: "When from two assertibles a third follows, and from the third and one (or both) of the two and one (or more) external assertible(s) another follows, then this other follows from the first two and the external(s)." We use to represent the "external" assertibles. This is version a, which is without the phrase "or both"; see stoic4b 1338 for the version with the phrase "or both". (Contributed by David A. Wheeler, 17-Feb-2019.) |
Ref | Expression |
---|---|
stoic4a.1 | |
stoic4a.2 |
Ref | Expression |
---|---|
stoic4a |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | stoic4a.1 | . . 3 | |
2 | 1 | 3adant3 935 | . 2 |
3 | simp1 915 | . 2 | |
4 | simp3 917 | . 2 | |
5 | stoic4a.2 | . 2 | |
6 | 2, 3, 4, 5 | syl3anc 1146 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 101 w3a 896 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 103 ax-ia2 104 ax-ia3 105 |
This theorem depends on definitions: df-bi 114 df-3an 898 |
This theorem is referenced by: (None) |
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