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Theorems · Theorem · combinatorics

SimpleGraph.exists_isExtremal_iff_exists

∀ {V : Type u_1} [inst : Fintype V] (p : SimpleGraph V → Prop), (∃ G x, G.IsExtremal p) ↔ ∃ G, p G

If one simple graph satisfies p, then there exists an extremal graph satisfying p.

Defined in
Mathlib.Combinatorics.SimpleGraph.Extremal.Basic
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fintype

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