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Home
MathPHP
SetTheory
SetAxiomsTest
testSetIsSubsetOfItself
MathPHP\SetTheory\SetAxiomsTest::testSetIsSubsetOfItself PHP Method
SetAxiomsTest Class Documentation
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testSetIsSubsetOfItself()
public
method
Axiom: A ⊆ A Every set is a subset of itself
public
testSetIsSubsetOfItself
(
Set
$A
)
$A
Set
public function testSetIsSubsetOfItself(Set $A) { $this->assertTrue($A->isSubset($A)); }
SetAxiomsTest
dataProviderForSingleSet
dataProviderForThreeSets
dataProviderForTwoSets
dataProviderForTwoSetsDifferent
testACartesianProductWithEmptySetIsEmptySet
testACrossUnsionBCEqualsACrossBUnionACrossC
testADiffBDifferentFromBDiffAWhenNotEqual
testADiffItselfIsEmptySet
testAIntersectionAEqualsA
testAIntersectionBIsSubsetOfA
testAIntersectionEmptySetIsEmptySet
testAIsSubsetOfAUnionB
testASymmetricDifferentBEqualsUnionADiffBAndBDiffA
testAUnionAEqualsA
testAUnionEmptySetEqualsA
testAUnsionBCrossCEqualsUnsionOfACRossCAndBCrossC
testCardinalityOfCartesianProduct
testCardinalityOfPowerSet
testCardinalityOfUnion
testEmptySetSubsetOfEverySet
testEqualSetsAreSubsetsInBothDirections
testIntersectionAbsorbtion
testIntersectionAssociative
testIntersectionCommutative
testIntersectionDistributive
testSetIsSubsetOfItself
testUnionAbsorbtion
testUnionCommutative
testUnionDistributive
testUnsionAssociative