axioms discrete math

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7 Terms

1
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Reflexivity

∀x ∈ S : x R x

2
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Symmetry

∀x,y ∈ S : x R y ⇒ y R x

3
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Transitivity

∀x,y,z ∈ S : [x R y ∧ y R z] ⇒ x R z

4
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Antisymmetry

∀x,y ∈ S : [x R y ∧ y R x] ⇒ x = y

5
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Totality

∀x,y ∈ S : x R y ∨ y R x

6
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Injective

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7
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surjective

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