Theorems · Theorem · group theory
MulEquiv.isSimpleGroup
∀ {G : Type u_1} [inst : Group G] {H : Type u_3} [inst_1 : Group H] [IsSimpleGroup H] (e : G ≃* H), IsSimpleGroup G- Defined in
- Mathlib.GroupTheory.Subgroup.Simple
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupGroupIsSimpleGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MulEquiv.toMonoidHomproof · cited by 126
- MulEquiv.surjectiveproof · cited by 41
- IsSimpleGroupstatement and proof · cited by 26
- IsSimpleGroup.isSimpleGroup_of_surjectiveproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MulEquiv.isSimpleGroup_congrproof · cited by 0