QuotientGroup.rangeKerLift

{G : Type u} → [inst : Group G] → {H : Type v} → [inst_1 : Group H] → (φ : G →* H) → G ⧸ φ.ker →* ↥φ.range

The induced map from the quotient by the kernel to the range.

Defined in: Mathlib.GroupTheory.QuotientGroup.Basic
Cited by: 2 results in Mathlib
Foundations: Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group Group

Around this declaration

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

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

Results whose statement or proof uses this declaration.