Theorems · Theorem · group theory
map_addCommutator_eq
∀ (G : Type u_1) [inst : AddGroup G] {H : Type u_4} [inst_1 : AddGroup H] (f : G →+ H),
AddSubgroup.map f (addCommutator G) = ⁅f.range, f.range⁆- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- Bracket.bracketstatement and proof · cited by 642
- AddSubgroup.mapstatement and proof · cited by 189
- AddMonoidHom.kerproof · cited by 158
- AddMonoidHom.rangestatement and proof · cited by 142
- codisjoint_iffproof · cited by 53
- addCommutatorstatement · cited by 17
- top_sup_eqproof · cited by 8
- AddSubgroup.map_addCommutatorproof · cited by 6
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