Hiking Tips: Recommended Trekking Equipment for ascending mountains

What equipment do you need for Multi-day hikes, at high altitude ?

General equipment
Strong mountaineering tent
Down sleeping bag: 5C for summer and -10C for winter
Sleeping mat
Gas or liquid-fuel stove
Spare gas/fuel
Pots and cutlery
Cup
Plate
Matches and lighter
2-litre water-container
75 to 90-litre rucksack
2 trekking poles
Map
Compass (23 degrees West)
Head-lamp (batteries)

Clothing
Breathable/waterproof jacket
Breathable/waterproof trousers
Long trousers
Thermal underwear
Technical fleece (grade 200 summer or 300 winter)
Technical shirts
Down jacket (winter)
Fleece gloves
2 pairs thick socks
Strong leather hiking boots
Snow-gaiters (winter)
Ankle-gaiters (summer)
Thermal fleece hat
Sun-hat

Other
Toiletries
Sun-screen