Theorems · Theorem · group theory
Group.rank_range_le
∀ {G : Type u_1} {H : Type u_2} [inst : Group G] [inst_1 : Group H] [inst_2 : Group.FG G] {f : G →* H},
Group.rank ↥f.range ≤ Group.rank G- Defined in
- Mathlib.GroupTheory.Rank
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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 · cited by 3,593
- MonoidHom.rangestatement · cited by 314
- Group.FGstatement and proof · cited by 40
- Group.rankstatement · cited by 20
- MonoidHom.rangeRestrictproof · cited by 17
- MonoidHom.rangeRestrict_surjectiveproof · cited by 6
- Group.rank_le_of_surjectiveproof · cited by 3
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