Proofs
An argument that proves one statement.
- Concepts 5206
- Definitions 5027
- Statements 3081
- Conjectures 75
- Problems 147
- Examples 431
- Counterexamples 71
- Objects 132
- Proofs 11
- Computations 1
- Topics 1
Ideas 1–11 of 11.
| Name | Kind | Subject |
|---|---|---|
| Proof that subgroups of index two are normal | Proof | Group theory and generalizations |
| Proof that cyclic groups are abelian | Proof | Group theory and generalizations |
| Proof that the kernel is a normal subgroup | Proof | Group theory and generalizations |
| Proof that the order of an element divides the order of the group | Proof | Group theory and generalizations |
| Proof that a homomorphism is injective iff its kernel is trivial | Proof | Group theory and generalizations |
| Proof that groups of prime order are cyclic | Proof | Group theory and generalizations |
| Proof of Extension of Lagrange's theorem | Proof | Group theory and generalizations |
| Proof of the first isomorphism theorem | Proof | Group theory and generalizations |
| Proof of the uniqueness of inverses | Proof | Group theory and generalizations |
| Proof of Lagrange's theorem | Proof | Group theory and generalizations |
| Proof of the cancellation laws | Proof | Group theory and generalizations |