Theorems · Theorem · group theory
AddSubgroup.goursatFst_prod_goursatSnd_le
∀ {G : Type u_1} {H : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup H] (I : AddSubgroup (G × H)),
I.goursatFst.prod I.goursatSnd ≤ I- Defined in
- Mathlib.GroupTheory.Goursat
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- AddMemClass.add_memproof · cited by 229
- AddSubgroup.toAddSubmonoidproof · cited by 91
- AddSubgroup.prodstatement and proof · cited by 34
- AddSubgroup.goursatFststatement and proof · cited by 8
- AddSubgroup.goursatSndstatement and proof · cited by 8
- AddSubgroup.mem_goursatFstproof · cited by 2
- AddSubgroup.mem_goursatSndproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Submodule.goursatFst_prod_goursatSnd_leproof · cited by 1
- AddSubgroup.goursatproof · cited by 0