Mathlib Map

Theorems · Theorem · group theory

SemidirectProduct.inr_injective

∀ {N : Type u_1} {G : Type u_2} [inst : Group N] [inst_1 : Group G] {φ : G →* MulAut N},
  Function.Injective ⇑SemidirectProduct.inr
Defined in
Mathlib.GroupTheory.SemidirectProduct
Cited by
1 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SemidirectProduct.inr_inj · cited by 0SemidirectProduct.inr_injDFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomMulAut · cited by 158MulAutSemidirectProduct · cited by 69SemidirectProductSemidirectProduct.right · cited by 35SemidirectProduct.rightSemidirectProduct.inr · cited by 18SemidirectProduct.inrFunction.injective_iff_hasLeftInverse · cited by 5Function.injective_iff_ha…SemidirectProduct.right_inr · cited by 1SemidirectProduct.right_i…SemidirectProduct.inr_injecti…CITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.