Theorems · Definition · group theory
MulAut.congr
{G : Type u_3} → [inst : Group G] → {H : Type u_7} → [inst_1 : Group H] → G ≃* H → MulAut G ≃* MulAut HIsomorphic groups have isomorphic automorphism groups.
- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmproof · cited by 482
- MulAutstatement and proof · cited by 158
- MulEquiv.transproof · cited by 53
Cited by8
Results whose statement or proof uses this declaration.
- IsCyclic.mulAutMulEquivproof · cited by 6
- SemidirectProduct.congr'statement · cited by 4
- SemidirectProduct.congr'_apply_leftstatement · cited by 0
- SemidirectProduct.congr'_apply_rightstatement · cited by 0
- SemidirectProduct.congr'_symm_apply_leftstatement and proof · cited by 0
- SemidirectProduct.congr'_symm_apply_rightstatement and proof · cited by 0
- MulAut.congr_applystatement and proof · cited by 0
- MulAut.congr_symm_applystatement and proof · cited by 0