Mathlib Map

Theorems · Definition · combinatorics

SimpleGraph.addCayley

{M : Type u_1} → Set M → [Add M] → SimpleGraph M

The Cayley graph induced by an operation [Add M] with generators s

Defined in
Mathlib.Combinatorics.SimpleGraph.Cayley
Cited by
15 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
Assumes
Add
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SimpleGraph.addCayley_adj' · cited by 4SimpleGraph.addCayley_adj'SimpleGraph.addCayley_gc · cited by 3SimpleGraph.addCayley_gcSimpleGraph.addCayley_erase_zero · cited by 3SimpleGraph.addCayley_era…SimpleGraph.addCayley_adj · cited by 2SimpleGraph.addCayley_adjSimpleGraph.addCayley_le_iff · cited by 1SimpleGraph.addCayley_le_…SimpleGraph.addCayley_monotone · cited by 1SimpleGraph.addCayley_mon…SimpleGraph.addCayley_union · cited by 1SimpleGraph.addCayley_uni…SimpleGraph.addCayley_univ · cited by 1SimpleGraph.addCayley_univSimpleGraph.addCayley_empty · cited by 1SimpleGraph.addCayley_emp…SimpleGraph.addCayley_insert_zero · cited by 0SimpleGraph.addCayley_ins…SimpleGraph.addCayley_mono · cited by 0SimpleGraph.addCayley_monoSimpleGraph.addCayley_neg · cited by 0SimpleGraph.addCayley_negSimpleGraph.addCayley_singleton_zero · cited by 0SimpleGraph.addCayley_sin…SimpleGraph.addCayley_adj_add_iff_right · cited by 0SimpleGraph.addCayley_adj…SimpleGraph.addCayley_compl_singleton_zero · cited by 0SimpleGraph.addCayley_com…Set · cited by 53352SetSimpleGraph · cited by 3072SimpleGraphSimpleGraph.fromRel · cited by 3SimpleGraph.fromRelSimpleGraph.addCayleyCITED BYCITES

Cites3

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

Cited by15

Results whose statement or proof uses this declaration.