Theorems · Theorem · group theory
Subgroup.goursatFst_prod_goursatSnd_le
∀ {G : Type u_1} {H : Type u_2} [inst : Group G] [inst_1 : Group H] (I : Subgroup (G × H)),
I.goursatFst.prod I.goursatSnd ≤ I- Defined in
- Mathlib.GroupTheory.Goursat
- Cited by
- 1 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
- Groupstatement and proof · cited by 6,238
- mul_oneproof · cited by 3,885
- Subgroupstatement and proof · cited by 3,593
- one_mulproof · cited by 2,841
- MulMemClass.mul_memproof · cited by 173
- Subgroup.toSubmonoidproof · cited by 114
- Subgroup.prodstatement and proof · cited by 35
- Subgroup.goursatFststatement and proof · cited by 6
- Subgroup.goursatSndstatement and proof · cited by 6
- Subgroup.mem_goursatFstproof · cited by 1
- Subgroup.mem_goursatSndproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.goursatproof · cited by 0