Theorems · Theorem · group theory
Fin.insertNth_apply_cycleRange_symm
∀ {n : ℕ} {α : Type u_1} (p : Fin (n + 1)) (a : α) (x : Fin n → α) (j : Fin (n + 1)),
p.insertNth a x ((Equiv.symm p.cycleRange) j) = Fin.cons a x j- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- Fin.consstatement · cited by 190
- Fin.insertNthstatement and proof · cited by 95
- Fin.cons_succproof · cited by 54
- Fin.cons_zeroproof · cited by 53
- Fin.cycleRangestatement · cited by 35
- Fin.insertNth_apply_sameproof · cited by 30
- Fin.insertNth_apply_succAboveproof · cited by 23
- Fin.cycleRange_symm_succproof · cited by 3
- Fin.cycleRange_symm_zeroproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Fin.cons_apply_cycleRangeproof · cited by 1
- Fin.insertNth_comp_cycleRange_symmproof · cited by 0