Sorry, that doesn't cut it.
The sun is at its lowest level of activity in 80 years and yet we keep having record heat, and the polar ice cap continues to melt.
Why?
Actually the sun is at it's lowest SUNSPOT activity not it's overall energy output. IR is normal but it is UV that can penetrate deep enough into the oceans to cause heating and that has dropped off dramatically recently. And once again, things take time on mother earth.
The poles have more ice at them now then they had in the 1960's why is that?
Glaciers are advancing all over the planet, why?
Multi year ice has increased in the Arctic for the last two years, why?
The overall ice between the poles have decreased. Sure you can make a case that the core of greenlands ice sheets have increased, but that is mostly because of a increase in moisture.
Figure 2: Ice mass changes for the Antarctic ice sheet from April 2002 to February 2009. Unfiltered data are blue crosses. Data filtered for the seasonal dependence are red crosses. The best-fitting quadratic trend is shown as the green line (Velicogna 2009).
Mass of the antarctic ice sheet. What you see is sea ice increasing...
Sea ice
"If the Southern Ocean is warming, why is Antarctic sea ice increasing? There are several contributing factors. One is the drop in ozone levels over Antarctica. The hole in the ozone layer above the South Pole has caused cooling in the stratosphere (Gillet 2003). This strengthens the cyclonic winds that circle the Antarctic continent (Thompson 2002). The wind pushes sea ice around, creating areas of open water known as polynyas. More polynyas lead to increased sea ice production (Turner 2009)."
The GRACE data offers a complete picture of the entire ice sheet, allowing comparisons of mass changes in coastal regions (eg - elevations below 2000 metres) with the Greenland interior (above 2000 metres). Over the period 2003 to 2008, the coastal regions were observed to be losing ice mass while the interior was in approximate mass balance. The overall result is that the Greenland ice sheet is losing ice mass (Wouters 2008).
Figure 1: Global sea ice extent since 1979. (Image source: Tamino. Data is from US National Snow and Ice Data Center.)
Actually the vast majority of the new ice in Antarctica was accreted to the bottom of the ice sheet. No precip needed or even possible.