Lemma 7.1.1, 7.1.2 and most of 7.1.5 #130
Merged
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
There is an error in the blueprint proof of 7.1.5: it is possible that the minimum$s_1$ of $\sigma(\mathfrak u,x)$ is equal to $S$ , and in that case the equation to be shown reduces to
which is clearly false in general. (In fact it can be easily reduced further to
∫ (y : X), Ks S x y * approxOnCube (𝓙 (t.𝔗 u)) f y = 0
, but this is not in the PR code.)