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Theorem stoic3 1361
 Description: Stoic logic Thema 3. Statement T3 of [Bobzien] p. 116-117 discusses Stoic logic thema 3. "When from two (assemblies) a third follows, and from the one that follows (i.e., the third) together with another, external external assumption, another follows, then other follows from the first two and the externally co-assumed one. (Simp. Cael. 237.2-4)" (Contributed by David A. Wheeler, 17-Feb-2019.)
Hypotheses
Ref Expression
stoic3.1
stoic3.2
Assertion
Ref Expression
stoic3

Proof of Theorem stoic3
StepHypRef Expression
1 stoic3.1 . . 3
2 stoic3.2 . . 3
31, 2sylan 277 . 2
433impa 1134 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 102   w3a 920 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 922 This theorem is referenced by:  f1imaeng  6360  absdiflt  10179  absdifle  10180
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