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3838 < a id ="1301 " href ="Algebra.Apartness.Bundles.html#1260 " class ="Function "> commutativeRing</ a > < a id ="1317 " class ="Symbol "> =</ a > < a id ="1319 " class ="Keyword "> record</ a > < a id ="1326 " class ="Symbol "> {</ a > < a id ="1328 " href ="Algebra.Bundles.html#30694 " class ="Field "> isCommutativeRing</ a > < a id ="1346 " class ="Symbol "> =</ a > < a id ="1348 " href ="Algebra.Apartness.Structures.html#1083 " class ="Function "> isCommutativeRing</ a > < a id ="1366 " class ="Symbol "> }</ a >
3939
40- < a id ="HeytingCommutativeRing.apartnessRelation "> </ a > < a id ="1371 " href ="Algebra.Apartness.Bundles.html#1371 " class ="Function "> apartnessRelation</ a > < a id ="1389 " class ="Symbol "> :</ a > < a id ="1391 " href ="Relation.Binary.Bundles.html#10991 " class ="Record "> ApartnessRelation</ a > < a id ="1409 " href ="Algebra.Apartness.Bundles.html#664 " class ="Bound "> c</ a > < a id ="1411 " href ="Algebra.Apartness.Bundles.html#666 " class ="Bound "> ℓ₁</ a > < a id ="1414 " href ="Algebra.Apartness.Bundles.html#669 " class ="Bound "> ℓ₂</ a >
41- < a id ="1419 " href ="Algebra.Apartness.Bundles.html#1371 " class ="Function "> apartnessRelation</ a > < a id ="1437 " class ="Symbol "> =</ a > < a id ="1439 " class ="Keyword "> record</ a > < a id ="1446 " class ="Symbol "> {</ a > < a id ="1448 " href ="Relation.Binary.Bundles.html#11193 " class ="Field "> isApartnessRelation</ a > < a id ="1468 " class ="Symbol "> =</ a > < a id ="1470 " href ="Algebra.Apartness.Structures.html#1144 " class ="Function "> isApartnessRelation</ a > < a id ="1490 " class ="Symbol "> }</ a >
40+ < a id ="HeytingCommutativeRing.apartnessRelation "> </ a > < a id ="1371 " href ="Algebra.Apartness.Bundles.html#1371 " class ="Function "> apartnessRelation</ a > < a id ="1389 " class ="Symbol "> :</ a > < a id ="1391 " href ="Relation.Binary.Bundles.html#11022 " class ="Record "> ApartnessRelation</ a > < a id ="1409 " href ="Algebra.Apartness.Bundles.html#664 " class ="Bound "> c</ a > < a id ="1411 " href ="Algebra.Apartness.Bundles.html#666 " class ="Bound "> ℓ₁</ a > < a id ="1414 " href ="Algebra.Apartness.Bundles.html#669 " class ="Bound "> ℓ₂</ a >
41+ < a id ="1419 " href ="Algebra.Apartness.Bundles.html#1371 " class ="Function "> apartnessRelation</ a > < a id ="1437 " class ="Symbol "> =</ a > < a id ="1439 " class ="Keyword "> record</ a > < a id ="1446 " class ="Symbol "> {</ a > < a id ="1448 " href ="Relation.Binary.Bundles.html#11224 " class ="Field "> isApartnessRelation</ a > < a id ="1468 " class ="Symbol "> =</ a > < a id ="1470 " href ="Algebra.Apartness.Structures.html#1144 " class ="Function "> isApartnessRelation</ a > < a id ="1490 " class ="Symbol "> }</ a >
4242
4343
4444< a id ="1494 " class ="Keyword "> record</ a > < a id ="HeytingField "> </ a > < a id ="1501 " href ="Algebra.Apartness.Bundles.html#1501 " class ="Record "> HeytingField</ a > < a id ="1514 " href ="Algebra.Apartness.Bundles.html#1514 " class ="Bound "> c</ a > < a id ="1516 " href ="Algebra.Apartness.Bundles.html#1516 " class ="Bound "> ℓ₁</ a > < a id ="1519 " href ="Algebra.Apartness.Bundles.html#1519 " class ="Bound "> ℓ₂</ a > < a id ="1522 " class ="Symbol "> :</ a > < a id ="1524 " href ="Agda.Primitive.html#388 " class ="Primitive "> Set</ a > < a id ="1528 " class ="Symbol "> (</ a > < a id ="1529 " href ="Agda.Primitive.html#931 " class ="Primitive "> suc</ a > < a id ="1533 " class ="Symbol "> (</ a > < a id ="1534 " href ="Algebra.Apartness.Bundles.html#1514 " class ="Bound "> c</ a > < a id ="1536 " href ="Agda.Primitive.html#961 " class ="Primitive Operator "> ⊔</ a > < a id ="1538 " href ="Algebra.Apartness.Bundles.html#1516 " class ="Bound "> ℓ₁</ a > < a id ="1541 " href ="Agda.Primitive.html#961 " class ="Primitive Operator "> ⊔</ a > < a id ="1543 " href ="Algebra.Apartness.Bundles.html#1519 " class ="Bound "> ℓ₂</ a > < a id ="1545 " class ="Symbol "> ))</ a > < a id ="1548 " class ="Keyword "> where</ a >
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6363 < a id ="2048 " href ="Algebra.Apartness.Bundles.html#1990 " class ="Function "> heytingCommutativeRing</ a > < a id ="2071 " class ="Symbol "> =</ a > < a id ="2073 " class ="Keyword "> record</ a > < a id ="2080 " class ="Symbol "> {</ a > < a id ="2082 " href ="Algebra.Apartness.Bundles.html#1115 " class ="Field "> isHeytingCommutativeRing</ a > < a id ="2107 " class ="Symbol "> =</ a > < a id ="2109 " href ="Algebra.Apartness.Structures.html#1707 " class ="Function "> isHeytingCommutativeRing</ a > < a id ="2134 " class ="Symbol "> }</ a >
6464
65- < a id ="HeytingField.apartnessRelation "> </ a > < a id ="2139 " href ="Algebra.Apartness.Bundles.html#2139 " class ="Function "> apartnessRelation</ a > < a id ="2157 " class ="Symbol "> :</ a > < a id ="2159 " href ="Relation.Binary.Bundles.html#10991 " class ="Record "> ApartnessRelation</ a > < a id ="2177 " href ="Algebra.Apartness.Bundles.html#1514 " class ="Bound "> c</ a > < a id ="2179 " href ="Algebra.Apartness.Bundles.html#1516 " class ="Bound "> ℓ₁</ a > < a id ="2182 " href ="Algebra.Apartness.Bundles.html#1519 " class ="Bound "> ℓ₂</ a >
66- < a id ="2187 " href ="Algebra.Apartness.Bundles.html#2139 " class ="Function "> apartnessRelation</ a > < a id ="2205 " class ="Symbol "> =</ a > < a id ="2207 " class ="Keyword "> record</ a > < a id ="2214 " class ="Symbol "> {</ a > < a id ="2216 " href ="Relation.Binary.Bundles.html#11193 " class ="Field "> isApartnessRelation</ a > < a id ="2236 " class ="Symbol "> =</ a > < a id ="2238 " href ="Algebra.Apartness.Structures.html#1144 " class ="Function "> isApartnessRelation</ a > < a id ="2258 " class ="Symbol "> }</ a >
65+ < a id ="HeytingField.apartnessRelation "> </ a > < a id ="2139 " href ="Algebra.Apartness.Bundles.html#2139 " class ="Function "> apartnessRelation</ a > < a id ="2157 " class ="Symbol "> :</ a > < a id ="2159 " href ="Relation.Binary.Bundles.html#11022 " class ="Record "> ApartnessRelation</ a > < a id ="2177 " href ="Algebra.Apartness.Bundles.html#1514 " class ="Bound "> c</ a > < a id ="2179 " href ="Algebra.Apartness.Bundles.html#1516 " class ="Bound "> ℓ₁</ a > < a id ="2182 " href ="Algebra.Apartness.Bundles.html#1519 " class ="Bound "> ℓ₂</ a >
66+ < a id ="2187 " href ="Algebra.Apartness.Bundles.html#2139 " class ="Function "> apartnessRelation</ a > < a id ="2205 " class ="Symbol "> =</ a > < a id ="2207 " class ="Keyword "> record</ a > < a id ="2214 " class ="Symbol "> {</ a > < a id ="2216 " href ="Relation.Binary.Bundles.html#11224 " class ="Field "> isApartnessRelation</ a > < a id ="2236 " class ="Symbol "> =</ a > < a id ="2238 " href ="Algebra.Apartness.Structures.html#1144 " class ="Function "> isApartnessRelation</ a > < a id ="2258 " class ="Symbol "> }</ a >
6767</ pre > </ body > </ html >
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