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formal statement (Lean)
320theorem exists_grayCycle {d : Nat} (hdpos : 0 < d) : ∃ w : GrayCycle d, w.path 0 = GrayCycleBRGC.brgcPath d 0 :=
proof body
Term-mode proof.
321 ⟨GrayCycleBRGC.brgcGrayCycle d hdpos, rfl⟩
322
323/-- **THEOREM (GENERAL)**: There exists a Gray cover for any dimension `d > 0`. -/
depends on (6)
Lean names referenced from this declaration's body.
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for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
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GrayCycle
in IndisputableMonolith.Patterns.GrayCycle
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brgcGrayCycle
in IndisputableMonolith.Patterns.GrayCycleBRGC
decl_use
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brgcPath
in IndisputableMonolith.Patterns.GrayCycleBRGC
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brgcGrayCycle
in IndisputableMonolith.Patterns.GrayCycleGeneral
decl_use
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brgcPath
in IndisputableMonolith.Patterns.GrayCycleGeneral
decl_use