Theorems · Theorem · combinatorics
SimpleGraph.Iso.mapNeighborSet_symm_apply_coe
∀ {V : Type u_1} {W : Type u_2} {G : SimpleGraph V} {G' : SimpleGraph W} (f : G ≃g G') (v : V)
(w : ↑(G'.neighborSet (f v))), ↑((f.mapNeighborSet v).symm w) = f.symm ↑w- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Equiv.symmstatement and proof · cited by 3,681
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement · cited by 1,346
- SimpleGraph.neighborSetstatement and proof · cited by 257
- SimpleGraph.Isostatement and proof · cited by 99
- SimpleGraph.Iso.symmstatement · cited by 34
- SimpleGraph.Iso.mapNeighborSetstatement and proof · cited by 3
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