Theorems · Theorem · group theory
Subgroup.prod_eq_bot_iff
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {H : Subgroup G} {K : Subgroup N},
H.prod K = ⊥ ↔ H = ⊥ ∧ K = ⊥- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, 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.
- Groupstatement and proof · cited by 6,238
- Bot.botstatement · cited by 4,720
- Subgroupstatement and proof · cited by 3,593
- Subgroup.prodstatement · cited by 35
- Submonoid.prod_eq_bot_iffproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.