Equivalence relation - reflexity
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I need to prove that relation is an equivalence relation. Equivalence relation means it satisfies reflexity, symmetry, and transitivity.
If I was given an set of numbers S=(-1,1) and for example for -(1/2) relation is not reflexive, but for 1/2 it is reflexive. Does that mean that in the end relation is not reflexive, because it's not reflexive for all numbers from that set?
Thank you!
equivalence-relations
asked Nov 23 at 7:00
Haus
307
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up vote
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favorite
I need to prove that relation is an equivalence relation. Equivalence relation means it satisfies reflexity, symmetry, and transitivity.
If I was given an set of numbers S=(-1,1) and for example for -(1/2) relation is not reflexive, but for 1/2 it is reflexive. Does that mean that in the end relation is not reflexive, because it's not reflexive for all numbers from that set?
Thank you!
equivalence-relations
asked Nov 23 at 7:00
Haus
307
2
Reflexivity means that $aRa$ for all $ain S$.
– Lord Shark the Unknown
Nov 23 at 7:02
So, in this case it's not reflexive. Thank you!
– Haus
Nov 24 at 17:20
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I need to prove that relation is an equivalence relation. Equivalence relation means it satisfies reflexity, symmetry, and transitivity.
If I was given an set of numbers S=(-1,1) and for example for -(1/2) relation is not reflexive, but for 1/2 it is reflexive. Does that mean that in the end relation is not reflexive, because it's not reflexive for all numbers from that set?
Thank you!
equivalence-relations
asked Nov 23 at 7:00
Haus
307
I need to prove that relation is an equivalence relation. Equivalence relation means it satisfies reflexity, symmetry, and transitivity.
If I was given an set of numbers S=(-1,1) and for example for -(1/2) relation is not reflexive, but for 1/2 it is reflexive. Does that mean that in the end relation is not reflexive, because it's not reflexive for all numbers from that set?
Thank you!
equivalence-relations
equivalence-relations
asked Nov 23 at 7:00
Haus
307
asked Nov 23 at 7:00
Haus
307
asked Nov 23 at 7:00
Haus
307
asked Nov 23 at 7:00
Haus
307
asked Nov 23 at 7:00
Haus
307
307
2
Reflexivity means that $aRa$ for all $ain S$.
– Lord Shark the Unknown
Nov 23 at 7:02
So, in this case it's not reflexive. Thank you!
– Haus
Nov 24 at 17:20
add a comment |
2
Reflexivity means that $aRa$ for all $ain S$.
– Lord Shark the Unknown
Nov 23 at 7:02
So, in this case it's not reflexive. Thank you!
– Haus
Nov 24 at 17:20
2
2
Reflexivity means that $aRa$ for all $ain S$.
– Lord Shark the Unknown
Nov 23 at 7:02
Reflexivity means that $aRa$ for all $ain S$.
– Lord Shark the Unknown
Nov 23 at 7:02
So, in this case it's not reflexive. Thank you!
– Haus
Nov 24 at 17:20
So, in this case it's not reflexive. Thank you!
– Haus
Nov 24 at 17:20
add a comment |
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2
Reflexivity means that $aRa$ for all $ain S$.
– Lord Shark the Unknown
Nov 23 at 7:02
So, in this case it's not reflexive. Thank you!
– Haus
Nov 24 at 17:20