Theorems · Theorem · combinatorics
SimpleGraph.mulCayley_adj_mul_iff_right
∀ {M : Type u_1} [inst : Semigroup M] [IsLeftCancelMul M] {s : Set M} {u v d : M},
(SimpleGraph.mulCayley s).Adj (d * u) (d * v) ↔ (SimpleGraph.mulCayley s).Adj u v- Defined in
- Mathlib.Combinatorics.SimpleGraph.Cayley
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- SemigroupIsLeftCancelMul
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Cites6
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- Setstatement and proof · cited by 53,352
- mul_assocproof · cited by 1,667
- SimpleGraph.Adjstatement · cited by 1,346
- Semigroupstatement and proof · cited by 202
- IsLeftCancelMulstatement and proof · cited by 51
- SimpleGraph.mulCayleystatement · cited by 15
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