Add Erdős Problem 70 (3-uniform partition relation on the continuum)#3784
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henrykmichalewski wants to merge 2 commits intogoogle-deepmind:mainfrom
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Add Erdős Problem 70 (3-uniform partition relation on the continuum)#3784henrykmichalewski wants to merge 2 commits intogoogle-deepmind:mainfrom
henrykmichalewski wants to merge 2 commits intogoogle-deepmind:mainfrom
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Formalises Problem 70: the partition relation 𝔠 → (β, n)³₂ for triples, for every countable β and finite n. Introduces OrdinalCardinalRamsey3 using Set.Triplewise to generalise the 2-uniform partition relation to triples, states the main open theorem, records the Erdős-Rado partial variant, and proves a monotonicity lemma. Reference: https://www.erdosproblems.com/70 Assisted by Claude (Anthropic).
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Closes #303 |
… docstring Insert canonical statement text + source URL from sage/conjecturing/sources/erdos_statements.json into the module docstring, matching the Round C pass on the private repo. The theorem statements and references are unchanged.
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Formalises Erdős Problem 70: the 3-uniform partition relation$\mathfrak{c} \to (\beta, n)^3_2$ for every countable ordinal $\beta$ and every finite $n$ .
Contents
OrdinalCardinalRamsey3: usesSet.Triplewiseto generalise the 2-uniform partition relation to triples.Assisted by Claude (Anthropic).