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Theorems · Definition · combinatorics

SimpleGraph.Embedding.sumInr

{V : Type u_3} → {W : Type u_5} → {G : SimpleGraph V} → {H : SimpleGraph W} → H ↪g G ⊕g H

The embedding of H into G ⊕g H.

Defined in
Mathlib.Combinatorics.SimpleGraph.Sum
Cited by
3 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext, Quot.sound
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Around this declaration

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

SimpleGraph.Coloring.sumRight · cited by 3Coloring.sumRightSimpleGraph.Preconnected.sum_sup_edge · cited by 1Preconnected.sum_sup_edgeSimpleGraph.Reachable.sum_sup_edge · cited by 1Reachable.sum_sup_edgeSimpleGraph.Embedding.sumInr_apply · cited by 1Embedding.sumInr_applySimpleGraph · cited by 3072SimpleGraphSimpleGraph.sum · cited by 46SimpleGraph.sumSimpleGraph.Embedding · cited by 41SimpleGraph.EmbeddingEmbedding.sumInrCITED BYCITES

Cites3

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

Cited by4

Results whose statement or proof uses this declaration.