Theorems · Theorem · group theory
AddSubgroup.card_subtype
∀ {G : Type u_1} [inst : AddGroup G] (K : AddSubgroup G) (L : AddSubgroup ↥K),
Nat.card ↥(AddSubgroup.map K.subtype L) = Nat.card ↥L- Defined in
- Mathlib.Algebra.Group.Subgroup.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites7
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 and proof · cited by 3,232
- Nat.cardstatement · cited by 844
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.subtypestatement · cited by 82
- AddSubgroup.subtype_injectiveproof · cited by 10
- AddSubgroup.card_map_of_injectiveproof · cited by 2
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