QuotientAddGroup.quotientKerEquivRange

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

The first isomorphism theorem (a definition): the canonical isomorphism between G/(ker φ) to range φ.

Defined in: Mathlib.GroupTheory.QuotientGroup.Basic
Cited by: 4 results in Mathlib
Foundations: Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup AddGroup

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