Theorems · Theorem · group theory
Submonoid.monotone_map
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] {F : Type u_4} [inst_2 : FunLike F M N]
[mc : MonoidHomClass F M N] {f : F}, Monotone (Submonoid.map f)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement · cited by 3,086
- FunLikestatement and proof · cited by 2,560
- Monotonestatement · cited by 1,397
- MulOneClassstatement and proof · cited by 1,018
- MonoidHomClassstatement and proof · cited by 244
- Submonoid.mapstatement · cited by 190
- GaloisConnection.monotone_lproof · cited by 76
- Submonoid.gc_map_comapproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- Algebra.intTrace_eq_of_isLocalizationproof · cited by 1
- Algebra.intNorm_eq_of_isLocalizationproof · cited by 1
- Submonoid.FG.map_injectiveproof · cited by 1