Commonly used methods to prove the inclusion and equality of sets

Containment relationship: A ⊆ B Containment relationship: A\subseteq B Package comprising Off line : AB
Method 1: Definition: Take x ∈ A arbitrarily, and prove x ∈ B deductively. Method 1: Definition: Take x\in A and prove x\in B deductively.Square Method 1 : given sense : any take xA,Then play unravel the card out xB to establish
Method 2: transitive: found set T, A ⊆ T, T ⊆Method 2: transitive: found set T, A \ subseteq T, TSquare Method 2 : transfer Delivery of : looking to set together T , AT,TB
Method 3: Equivalent definition: A ∪ B = B or A ∩ B = A or A − B = Φ Method 3: Equivalent definition: A \cup B=B or A\cap B=A or AB=ΦSquare method 3 : other monovalent given sense : AB=B or AB=A or AB=ΦEqual
relation: A = B Equal relation: A=BPhase etc. Off line : A=B
method 1: A ⊆ B and B ⊆ A method 1: A\subseteq B and B\subseteq ASquare Method . 1 : AB and BA

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