Since the proof of the four color theorem in 1976, computer-generated proofs have become a reality in mathematics and computer science. During the last decade, we have seen formal proofs using verified proof assistants being used to verify the validity of such proofs.
The sulphur- and oxygen-containing diaryl compounds of the formula: I in which A and B, which may be the same or different, represent O, S, SO or SO2, Alk is a C1-C4 hydrocarbon radical with a straight or branched chain, R represents COOH, an esterified COOH group, a carboxylic amide group, OH, O-SO2CH3, NH2, NHR1, NR1R2, NHZOH, NHZNR1R2, C(=NH)NH2, C(=NH)NHOH or 2- DELTA 2-imidazolinyl, Z is a C2-C4 hydrocarbon radical with a straight or branched chain, and R1 and R2 each represent a C1-C3 lower alkyl group, or together form, with the nitrogen atom to which they are linked, a N-heterocyclic group of 5 to 7 ring atoms which can be substituted and can comprise a second hetero-atom, and their addition salts with bases when R is COOH, and their addition salts with acids when R is a basic radical, are useful pharmacological agents in the treatment of circulatory complaints such as cardio-vascular illnesses. The isomer (R)-(-)-3- [2-(p-hydroxyphenyl)-1-methylethyl]-aminomethyl -3,4-dihydr o-2H-1,5-benzodioxepin-3-ol and its non-toxic acid addition salts is unexpectedly more potent in the reduction of elevated interocular pressure in mammals than its enantiomorph or the racemate thereof.