feat(ErdosProblems): 865 #2196
Open
feat(ErdosProblems): 865 #2196
+84
−0
Conversation
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
mo271
approved these changes
Feb 13, 2026
Collaborator
mo271
left a comment
mo271
left a comment
There was a problem hiding this comment.
Thanks, lgtm, only minor nits
| -/ | ||
| @[category research open, AMS 5 11] | ||
| theorem erdos_865 : | ||
| answer(sorry) ↔ ∃ C > 0, ∀ᶠ (N : ℕ) in atTop, |
Collaborator
There was a problem hiding this comment.
Suggested change
| answer(sorry) ↔ ∃ C > 0, ∀ᶠ (N : ℕ) in atTop, | |
| ∃ C > 0, ∀ᶠ (N : ℕ) in atTop, |
This is one case I would leave out the anser(sorry) because it is not phrased as a question.
| @[category research open, AMS 5 11] | ||
| theorem erdos_865.variants.sos : | ||
| ∀ᵉ (k : ℕ) (hk : 2 ≤ k), | ||
| ∃ c, c = (1 / 2 : ℝ) * (1 + ∑ r ∈ Icc 1 (k - 2), (1 / 4 : ℝ) ^ r) ∧ |
Collaborator
There was a problem hiding this comment.
Suggested change
| ∃ c, c = (1 / 2 : ℝ) * (1 + ∑ r ∈ Icc 1 (k - 2), (1 / 4 : ℝ) ^ r) ∧ | |
| letI c := (1 / 2 : ℝ) * (1 + ∑ r ∈ Icc 1 (k - 2), (1 / 4 : ℝ) ^ r) |
I would either just inline this or if you really want to name the constanst, use letI.
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
2 participants
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Outdated suggestions cannot be applied.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.
Closes #989
Formalizes Erdos Problem 865: https://www.erdosproblems.com/865
Assisted by Gemini/Antigravity