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Theorems · Theorem · combinatorics

Graph.IsSubgraph.isNonloopAt_congr

∀ {α : Type u_1} {β : Type u_2} {x : α} {e : β} {G H : Graph α β},
  H ≤ G → e ∈ H.edgeSet → (H.IsNonloopAt e x ↔ G.IsNonloopAt e x)
Defined in
Mathlib.Combinatorics.Graph.Subgraph
Cited by
1 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Graph.IsSubgraph.isNonloopAt_eqOn · cited by 0IsSubgraph.isNonloopAt_eq…Set · cited by 53352SetGraph · cited by 242GraphGraph.IsLink · cited by 124Graph.IsLinkGraph.edgeSet · cited by 79Graph.edgeSetGraph.IsNonloopAt · cited by 16Graph.IsNonloopAtGraph.IsSubgraph.isLink_iff · cited by 6IsSubgraph.isLink_iffIsSubgraph.isNonloopAt_congrCITED BYCITES

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Cited by1

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