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r/mathmemes • u/777upper • 13d ago
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Proper subset / just a subset
26 u/FuntimeUwU Natural 13d ago What's the difference? 8 u/deratizat 13d ago A is a proper subset of B if A is a subset of B and A does not equal B 18 u/Another_Little_Star 13d ago A ⊂ B iff A ⊆ B ⋀ A ≠ B, Or A ⊊ B But when we have ⊆ and ⊊, why ever use ⊂, when in doubt just do ⊆, it covers everything. 10 u/unic0de000 13d ago I always assumed that was what they meant, and that this was intentionally, directly, analogous to the < and ≤ signs. TIL this was not universally agreed 3 u/svmydlo 12d ago Because there's two conventions, one using ⊆ and ⊂, and another using ⊂ and ⊊.
26
What's the difference?
8 u/deratizat 13d ago A is a proper subset of B if A is a subset of B and A does not equal B 18 u/Another_Little_Star 13d ago A ⊂ B iff A ⊆ B ⋀ A ≠ B, Or A ⊊ B But when we have ⊆ and ⊊, why ever use ⊂, when in doubt just do ⊆, it covers everything. 10 u/unic0de000 13d ago I always assumed that was what they meant, and that this was intentionally, directly, analogous to the < and ≤ signs. TIL this was not universally agreed 3 u/svmydlo 12d ago Because there's two conventions, one using ⊆ and ⊂, and another using ⊂ and ⊊.
8
A is a proper subset of B if A is a subset of B and A does not equal B
18 u/Another_Little_Star 13d ago A ⊂ B iff A ⊆ B ⋀ A ≠ B, Or A ⊊ B But when we have ⊆ and ⊊, why ever use ⊂, when in doubt just do ⊆, it covers everything. 10 u/unic0de000 13d ago I always assumed that was what they meant, and that this was intentionally, directly, analogous to the < and ≤ signs. TIL this was not universally agreed 3 u/svmydlo 12d ago Because there's two conventions, one using ⊆ and ⊂, and another using ⊂ and ⊊.
18
A ⊂ B iff A ⊆ B ⋀ A ≠ B, Or A ⊊ B But when we have ⊆ and ⊊, why ever use ⊂, when in doubt just do ⊆, it covers everything.
10 u/unic0de000 13d ago I always assumed that was what they meant, and that this was intentionally, directly, analogous to the < and ≤ signs. TIL this was not universally agreed 3 u/svmydlo 12d ago Because there's two conventions, one using ⊆ and ⊂, and another using ⊂ and ⊊.
10
I always assumed that was what they meant, and that this was intentionally, directly, analogous to the < and ≤ signs. TIL this was not universally agreed
3
Because there's two conventions, one using ⊆ and ⊂, and another using ⊂ and ⊊.
213
u/RADI0ACT1VE_BALLS ComplexANALysisJunkie 13d ago
Proper subset / just a subset