Mathlib Map

Theorems · Theorem · group theory

Subgroup.map_subtype_lt_map_subtype

∀ {G : Type u_1} [inst : Group G] {G' : Subgroup G} {H K : Subgroup ↥G'},
  Subgroup.map G'.subtype H < Subgroup.map G'.subtype K ↔ H < K
Defined in
Mathlib.Algebra.Group.Subgroup.Ker
Cited by
1 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Group.IsSolvable.commutator_lt_of_ne_bot · cited by 2IsSolvable.commutator_lt_…Group · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.map · cited by 301Subgroup.mapSubgroup.subtype · cited by 185Subgroup.subtypeSubgroup.subtype_injective · cited by 18Subgroup.subtype_injectiveSubgroup.map_lt_map_iff_of_injective · cited by 1Subgroup.map_lt_map_iff_o…Subgroup.map_subtype_lt_map_s…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.