Theorems · Theorem · group theory
AddSubgroup.mem_goursatFst
∀ {G : Type u_1} {H : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup H] {I : AddSubgroup (G × H)} {g : G},
g ∈ I.goursatFst ↔ (g, 0) ∈ I- Defined in
- Mathlib.GroupTheory.Goursat
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHom.mem_kerproof · cited by 26
- AddSubgroup.mem_mapproof · cited by 15
- AddSubgroup.goursatFststatement · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.goursatFst_prod_goursatSnd_leproof · cited by 2
- AddSubgroup.mk_goursatFst_eq_iff_mk_goursatSnd_eqproof · cited by 1