Theorems · Theorem
Function.Commute.refl
∀ {α : Type u_1} (f : α → α), Function.Commute f f- Defined in
- Mathlib.Logic.Function.Conjugate
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.Commutestatement · cited by 54
Cited by5
Results whose statement or proof uses this declaration.
- Function.Commute.iterate_eq_of_map_eqproof · cited by 2
- Function.Commute.iterate_selfproof · cited by 1
- Function.Commute.self_iterateproof · cited by 1
- Function.bijOn_ptsOfPeriodproof · cited by 1
- Function.Commute.iterate_iterate_selfproof · cited by 0