Theorems · Theorem · group theory
AddSubgroup.map_eq_comap_of_inverse
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] {f : G →+ N} {g : N →+ G},
Function.LeftInverse ⇑g ⇑f →
Function.RightInverse ⇑g ⇑f → ∀ (H : AddSubgroup G), AddSubgroup.map f H = AddSubgroup.comap g H- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites14
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- AddSubgroup.comapstatement and proof · cited by 123
- SetLike.ext'proof · cited by 60
- Set.image_eq_preimage_of_inverseproof · cited by 27
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