Theorems · Theorem · group theory
AddSubgroup.normal_goursatSnd
∀ {G : Type u_1} {H : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup H] {I : AddSubgroup (G × H)},
Function.Surjective (Prod.snd ∘ ⇑I.subtype) → I.goursatSnd.Normal- Defined in
- Mathlib.GroupTheory.Goursat
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- AddMonoidHom.compproof · cited by 339
- AddSubgroup.Normalstatement · cited by 183
- AddSubgroup.subtypestatement and proof · cited by 82
- AddMonoidHom.sndproof · cited by 42
- AddSubgroup.goursatSndstatement · cited by 8
- AddSubgroup.Normal.mapproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.goursat_surjectivestatement and proof · cited by 2
- AddSubgroup.mk_goursatFst_eq_iff_mk_goursatSnd_eqproof · cited by 1
- AddSubgroup.goursatproof · cited by 0