Theorems · Theorem · group theory
Equiv.Perm.decomposeFin_symm_apply_zero
∀ {n : ℕ} (p : Fin (n + 1)) (e : Equiv.Perm (Fin n)), (Equiv.Perm.decomposeFin.symm (p, e)) 0 = p- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.transproof · cited by 337
- Equiv.symm_apply_applyproof · cited by 320
- Equiv.reflproof · cited by 274
- Equiv.swapproof · cited by 197
- Equiv.swap_apply_leftproof · cited by 44
- finSuccEquivproof · cited by 28
- Equiv.permCongrproof · cited by 27
- Equiv.optionCongrproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.det_succ_column_zeroproof · cited by 1
- finRotate_succ_eq_decomposeFinproof · cited by 1