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Full Idea
If only a single false consequence can be derived from a proposition, then this proposition is false.
Gist of Idea
If a proposition implies any false consequences, then it is false
Source
Immanuel Kant (Critique of Pure Reason [1781], B819/A791)
Book Ref
Kant,Immanuel: 'Critique of Pure Reason', ed/tr. Guyer,P /Wood,A W [CUO 1998], p.669
A Reaction
Seems right. Of course, it might imply entirely true consequences, and still be false. This idea has to be one of the foundations (sic) of coherentism about truth and justification.