suggest moving sense 1→3 or at least 2

@@ -18,4 +17,0 @@
-<gloss>major premise (in a syllogism)</gloss>
-</sense>
-<sense>
-<pos>&n;</pos>
@@ -30,0 +27,5 @@
+</sense>
+<sense>
+<pos>&n;</pos>
+<field>&logic;</field>
+<gloss>major premise (in a syllogism)</gloss>

daij have the first two senses, but I think there's a third, which I think daijs' example for its sense 2 is actually an example of:
"２ あるものの、成立・存在の根本となる条件。「人命尊重が大前提だ」"
in English, you can't really translate this as "respect for human life is an important condition". An important condition for what? 
Daijs specifies that this "成立・存在の根本となる条件" is specifically for "あるもの" so I don't think you can really leave that part 
out. Same thing with the usage here:
https://www.facebook.com/ppkyoto/posts/937243033133944
picture from a sign in a temple garden reading: "苔もいきものです。大事にしましょう", with a caption by the person posting the photo: 
"これが大前提です。"
Another example:
https://twitter.com/into__the_void/status/1065167741756297217
"落書きはいけません…という大前提はあったとしても、描かれた場所と内容によっては特別な意味を持ってしまうものもある。"
The meaning is an even more generalized version of sense 2, which in itself is probably a more generalized version of sense 3.

In terms of commonality, sense 1 should probably come last.

@@ -18,2 +18,13 @@
-<gloss>major premise</gloss>
-<gloss>principle</gloss>
+<gloss>major premise (in a syllogism)</gloss>
+</sense>
+<sense>
+<pos>&n;</pos>
+<gloss>important condition</gloss>
+<gloss>basic premise</gloss>
+<gloss>basic assumption</gloss>
+</sense>
+<sense>
+<pos>&n;</pos>
+<gloss>something that should be obvious to all</gloss>
+<gloss>something that should not have to be argued</gloss>
+<gloss>something that goes without mentioning</gloss>