Theorems · Theorem · group theory
Subsemigroup.map_equiv_eq_comap_symm
∀ {M : Type u_1} {N : Type u_2} [inst : Mul M] [inst_1 : Mul N] (f : M ≃* N) (K : Subsemigroup M),
Subsemigroup.map (↑f) K = Subsemigroup.comap (↑f.symm) K- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmstatement and proof · cited by 482
- SetLike.coe_injectiveproof · cited by 374
- Subsemigroupstatement and proof · cited by 323
- MulEquiv.toEquivproof · cited by 126
- Equiv.image_eq_preimage_symmproof · cited by 64
- Subsemigroup.mapstatement and proof · cited by 51
- Subsemigroup.comapstatement and proof · cited by 39
- MulHomClass.toMulHomstatement and proof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- Subsemigroup.comap_equiv_eq_map_symmproof · cited by 0