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Theorems · Theorem · combinatorics

SimpleGraph.Copy.injective

∀ {α : Type u_4} {β : Type u_5} {A : SimpleGraph α} {B : SimpleGraph β} (f : A.Copy B), Function.Injective ⇑f.toHom
Defined in
Mathlib.Combinatorics.SimpleGraph.Copy
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SimpleGraph.Copy.toEmbedding · cited by 9Copy.toEmbeddingSimpleGraph.IsContained.egirth_le · cited by 2IsContained.egirth_leSimpleGraph.Copy.isoSubgraphMap · cited by 1Copy.isoSubgraphMapSimpleGraph.cycleGraph_isContained_iff · cited by 1SimpleGraph.cycleGraph_is…SimpleGraph.completeBipartiteGraph_isContained_iff · cited by 0SimpleGraph.completeBipar…DFunLike.coe · cited by 62936DFunLike.coeSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Adj · cited by 1346SimpleGraph.AdjSimpleGraph.Hom · cited by 139SimpleGraph.HomSimpleGraph.Copy · cited by 49SimpleGraph.CopySimpleGraph.Copy.toHom · cited by 14Copy.toHomSimpleGraph.Copy.injective' · cited by 1Copy.injective'Copy.injectiveCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.