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Lemma 7.5.1 #194

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@lakesare lakesare commented Dec 15, 2024

[blueprint]

This can be merged!
PR review is appreciated.

TODOs

  • prove the remaining π“˜ u₁ βŠ‚ cube subgoal (lemma union_𝓙₅)
  • prove the second theorem (lemma pairwiseDisjoint_𝓙₅)
  • add \leanok
  • refactor (lemma union_𝓙₅)
  • refactor (lemma pairwiseDisjoint_𝓙₅)
  • update the blueprint to not use strict containment
  • address PR review suggestions

proof - intermediate 2

proof - intermediate 3

proof - intermediate 4

proof - proved barring `π“˜ u₁ βŠ‚ cube` part
@lakesare lakesare force-pushed the lakesare/lemma_7.5.1 branch from dbecfd4 to 8e187a3 Compare December 17, 2024 00:16
@lakesare lakesare marked this pull request as ready for review December 18, 2024 03:32
@lakesare lakesare marked this pull request as draft December 19, 2024 02:30
@lakesare lakesare marked this pull request as ready for review December 19, 2024 09:02
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@fpvandoorn fpvandoorn left a comment

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This looks good!
I mostly have some stylistic comments,
I didn't open this PR in Lean myself to check whether all my suggestions work.

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@lakesare lakesare marked this pull request as draft December 20, 2024 06:54
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Implemented the suggestions, they all worked.
Thanks for the review! This can be merged.

@lakesare lakesare marked this pull request as ready for review December 24, 2024 06:00
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