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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 1362 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 958 | . 2 |
3 | simp1 938 | . 2 | |
4 | simp3 940 | . 2 | |
5 | stoic4a.2 | . 2 | |
6 | 2, 3, 4, 5 | syl3anc 1169 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: (None) |
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