Theorems · Theorem · group theory
AddSubsemigroup.mem_map_equiv
∀ {M : Type u_1} {N : Type u_2} [inst : Add M] [inst_1 : Add N] {f : M ≃+ N} {K : AddSubsemigroup M} {x : N},
x ∈ AddSubsemigroup.map (↑f) K ↔ f.symm x ∈ K- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddEquivstatement and proof · cited by 1,087
- AddEquiv.symmstatement · cited by 530
- AddSubsemigroupstatement and proof · cited by 262
- AddSubsemigroup.mapstatement · cited by 50
- AddHomClass.toAddHomstatement · cited by 29
- Set.mem_image_equivproof · cited by 22
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