Theorems · Theorem · dynamical systems
CircleDeg1Lift.commute_sub_nat
∀ (f : CircleDeg1Lift) (n : ℕ), Function.Commute ⇑f fun x => x - ↑n
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Realstatement and proof · cited by 25,697
- sub_eq_add_negproof · cited by 1,023
- CircleDeg1Liftstatement and proof · cited by 128
- Equiv.right_invproof · cited by 68
- Equiv.left_invproof · cited by 59
- Function.Commutestatement and proof · cited by 54
- Equiv.addRightproof · cited by 30
- Function.Semiconj.inverses_rightproof · cited by 2
- CircleDeg1Lift.commute_add_natproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.commute_add_intproof · cited by 9