Theorems · Theorem · group theory
Subgroup.normal_goursatFst
∀ {G : Type u_1} {H : Type u_2} [inst : Group G] [inst_1 : Group H] {I : Subgroup (G × H)},
Function.Surjective (Prod.fst ∘ ⇑I.subtype) → I.goursatFst.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
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MonoidHom.compproof · cited by 469
- Subgroup.Normalstatement · cited by 334
- Subgroup.subtypestatement and proof · cited by 185
- MonoidHom.fstproof · cited by 28
- Subgroup.goursatFststatement · cited by 6
- Subgroup.Normal.mapproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.mk_goursatFst_eq_iff_mk_goursatSnd_eqproof · cited by 1
- Subgroup.goursat_surjectivestatement and proof · cited by 1
- Subgroup.goursatproof · cited by 0