Theorems · Theorem · group theory
AddSubgroup.card_range_dvd
∀ {G : Type u_1} {G' : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup G'] (f : G →+ G'),
Nat.card ↥f.range ∣ Nat.card G- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- Nat.cardstatement · cited by 844
- AddMonoidHom.rangestatement · cited by 142
- AddMonoidHom.rangeRestrictproof · cited by 14
- AddMonoidHom.rangeRestrict_surjectiveproof · cited by 4
- AddSubgroup.card_dvd_of_surjectiveproof · cited by 3
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