Erdos 1043 #1279
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Erdos 1043 #1279
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smmercuri
requested changes
Nov 28, 2025
| theorem erdos_1043 : | ||
| ∃ (f : ℂ[X]), f.Monic ∧ | ||
| ∀ (u : ℂ), ‖u‖ = 1 ∧ | ||
| volume ((ℝ ∙ u).orthogonalProjection '' levelSet f) > 2 := by |
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should be this instead otherwise there is a contradiction with any u without norm 1:
Suggested change
| volume ((ℝ ∙ u).orthogonalProjection '' levelSet f) > 2 := by | |
| ∀ (u : ℂ), ‖u‖ = 1 → | |
| volume ((ℝ ∙ u).orthogonalProjection '' levelSet f) > 2 := by |
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| ∀ (f : ℂ[X]), f.Monic ∧ | ||
| ∃ (u : ℂ), ‖u‖ = 1 ∧ |
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Suggested change
| ∀ (f : ℂ[X]), f.Monic ∧ | |
| ∃ (u : ℂ), ‖u‖ = 1 ∧ | |
| ∀ (f : ℂ[X]), f.Monic → | |
| ∃ (u : ℂ), ‖u‖ = 1 ∧ |
smmercuri
reviewed
Nov 28, 2025
| measure at most 3.3. | ||
| -/ | ||
| @[category research solved, AMS 28 30] | ||
| theorem erdos_1043.variants.weak : |
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For this variant, we should exclude constant polynomials
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fixes #1278