Theorems · Theorem · group theory
AddMonoidHom.surjective_of_card_ker_le_div
∀ {G : Type u_1} {M : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup M] [Finite G] [Finite M] (f : G →+ M),
Nat.card ↥f.ker ≤ Nat.card G / Nat.card M → Function.Surjective ⇑f- Defined in
- Mathlib.GroupTheory.Index
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- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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- Nat.cardstatement and proof · cited by 844
- Set.ncardproof · cited by 344
- Set.subset_univproof · cited by 228
- Set.toFiniteproof · cited by 174
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