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https://github.com/Smaug123/agdaproofs
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24 lines
856 B
Agda
24 lines
856 B
Agda
{-# OPTIONS --warning=error --safe --without-K #-}
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open import LogicalFormulae
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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open import Functions
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open import Setoids.Setoids
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open import Setoids.Subset
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open import Graphs.Definition
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open import Sets.FinSet.Definition
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open import Numbers.Naturals.Semiring
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open import Numbers.Naturals.Order
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open import Sets.EquivalenceRelations
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open import Graphs.CompleteGraph
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open import Graphs.Colouring
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module Graphs.RamseyTriangle where
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hasMonochromaticTriangle : {a : _} {n : ℕ} (G : Graph a (reflSetoid (FinSet n))) → Set (lsuc lzero)
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hasMonochromaticTriangle {n = n} G = Sg (FinSet n → Set) λ pred → (subset (reflSetoid (FinSet n)) pred) && {!!}
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ramseyForTriangle : (k : ℕ) → Sg ℕ (λ N → (n : ℕ) → (N <N n) → (c : Colouring k (Kn n)) → {!!})
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ramseyForTriangle k = {!!}
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