Refer to figure.

HIGH PRESSURE SYSTEM/ANTICYCLONE. Is an area which has a higher air pressure than the surroundings (the value of the isobars decrease with distance from the centre). Isobars are more widely spaced than with depressions.

Within an anticyclone, at high altitude we have air converging, then descent of air within the anticyclone (subsidence) and divergence at the surface.

Typical weather in an area under the influence of a High-Pressure is clear skies due to the sinking motion of air (subsidence), lighter winds than around a Depression and reduced chance of precipitation. The descending movement of the air works against cloud formation and precipitation.

"On the windward side of the alps in a foehn situation" Incorrect. On the upwind/windward side of the mountain, cloud formation, precipitation or fog is expected.
"In an occlusion" Incorrect. As the occluded front approaches the observer, regardless of the type of occlusion, precipitation is often showery.