Theorems · Theorem · group theory
SemidirectProduct.inl_injective
∀ {N : Type u_1} {G : Type u_2} [inst : Group N] [inst_1 : Group G] {φ : G →* MulAut N},
Function.Injective ⇑SemidirectProduct.inl- Defined in
- Mathlib.GroupTheory.SemidirectProduct
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- MulAutstatement and proof · cited by 158
- SemidirectProductstatement · cited by 69
- SemidirectProduct.leftproof · cited by 30
- SemidirectProduct.inlstatement · cited by 20
- Function.injective_iff_hasLeftInverseproof · cited by 5
- SemidirectProduct.left_inlproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- SemidirectProduct.toGroupExtensionproof · cited by 3
- SemidirectProduct.inl_injproof · cited by 0