Theorems · Theorem · group theory
Subgroup.map_inf_le
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (H K : Subgroup G) (f : G →* N),
Subgroup.map f (H ⊓ K) ≤ Subgroup.map f H ⊓ Subgroup.map f K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
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
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Subgroup.mapstatement · cited by 301
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- le_infproof · cited by 107
- Subgroup.map_monoproof · cited by 8
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