Theorems · Theorem · combinatorics
SimpleGraph.Walk.transfer.congr_simp
∀ {V : Type u} {G : SimpleGraph V} {u v : V} (p p_1 : G.Walk u v) (e_p : p = p_1) (H : SimpleGraph V)
(h : ∀ e ∈ p.edges, e ∈ H.edgeSet), p.transfer H h = p_1.transfer H ⋯- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Walkstatement and proof · cited by 915
- Sym2statement and proof · cited by 737
- SimpleGraph.edgeSetstatement and proof · cited by 199
- SimpleGraph.Walk.edgesstatement and proof · cited by 145
- SimpleGraph.Walk.transferstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.Walk.reverse_transferproof · cited by 0