Theorems · Theorem · dynamical systems
CircleDeg1Lift.strictMono_iff_injective
∀ (f : CircleDeg1Lift), StrictMono ⇑f ↔ Function.Injective ⇑f
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- StrictMonostatement · cited by 706
- CircleDeg1Liftstatement and proof · cited by 128
- CircleDeg1Lift.monotoneproof · cited by 11
- Monotone.strictMono_iff_injectiveproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.isUnit_iff_bijectiveproof · cited by 1