Theorems · Theorem · group theory
Equiv.mul_swap_eq_iff
∀ {α : Type u_4} [inst : DecidableEq α] {i j : α} {σ : Equiv.Perm α}, σ * Equiv.swap i j = σ ↔ i = j- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.swapstatement · cited by 197
- mul_eq_leftproof · cited by 7
- Equiv.swap_eq_one_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.det_mul_auxproof · cited by 1