Defining Uprooting and Setting Down

The entity must be uprooted from, and set down on, a space of four handbreadths by four handbreadths, in order for one to be liable: Eruvin 9a, 76b-77a, 85b, 87a-b, 99a, 101b
Setting an entity down on, or removing an entity from, a place which is significant in that this is where the person intended for the item to be, but is less than sixteen square handbreadths: Eruvin 99a
An act of Uprooting which in removing the item makes the place it came from into a Private Property: Shabbat 99b
An act of Setting Down which places down an item, making the place it is set down on a Private Property: Shabbat 99b
Above, where an item is placed on top of the subject of the Setting Down: Shabbat 99b
Considering an item which is in mid-air, below 3 Tefach [Hand-Breadths], to have landed: Shabbat 100a-b; Eruvin 98b
Considering an item passing through Mid-Air [below 10 Tefach [Hand-Breadths] to be set down: Shabbat 80a, 97a, 97b-98a
Applying the Lavud-Principle [Closing Gaps] to throwing an entity within 3 Tefach [Hand-Breadths] of the ground: Shabbat 80a, 92a, 97a
Setting Down an item by making it stick to a wall: Shabbat 99b, 100a
Setting Down a thrown object in a hole, less than 4 Tefach [Hand-Breadths] wide, in a wall [Chokikin leHashlim]: Shabbat 100a
Setting Down liquid on liquid: Shabbat 99b
Setting Down oil on wine: Shabbat 100a
Setting Down a solid on liquid: Shabbat 99b-100a
Setting Down a solid in a solid which is floating on liquid: Shabbat 100a
Throwing, intentionally, into the mouth of an animal/oven: Shabbat 102a; Eruvin 99a
Remaining in motion while carrying, to avoid setting down the carried item: Shabbat 153b

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