16 lines
1.5 KiB
Plaintext
16 lines
1.5 KiB
Plaintext
tff(axiom, axiom, ![X: object]: (p__is_integer__(X) <=> (?[Y: $int]: (X = f__integer__(Y))))).
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tff(axiom, axiom, ![X: object]: (p__is_symbolic__(X) <=> (?[Y: $i]: (X = f__symbolic__(Y))))).
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tff(axiom, axiom, ![X: object]: ((X = c__infimum__) | p__is_integer__(X) | p__is_symbolic__(X) | (X = c__supremum__))).
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tff(axiom, axiom, ![X: $int, Y: $int]: ((f__integer__(X) = f__integer__(Y)) <=> (X = Y))).
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tff(axiom, axiom, ![X: $i, Y: $i]: ((f__symbolic__(X) = f__symbolic__(Y)) <=> (X = Y))).
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tff(axiom, axiom, ![X1: $int, X2: $int]: (p__less_equal__(f__integer__(X1), f__integer__(X2)) <=> $lesseq(X1, X2))).
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tff(axiom, axiom, ![X1: object, X2: object]: ((p__less_equal__(X1, X2) & p__less_equal__(X2, X1)) => (X1 = X2))).
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tff(axiom, axiom, ![X1: object, X2: object, X3: object]: ((p__less_equal__(X1, X2) & p__less_equal__(X2, X3)) => p__less_equal__(X1, X3))).
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tff(axiom, axiom, ![X1: object, X2: object]: (p__less_equal__(X1, X2) | p__less_equal__(X2, X1))).
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tff(axiom, axiom, ![X1: object, X2: object]: (p__less__(X1, X2) <=> (p__less_equal__(X1, X2) & (X1 != X2)))).
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tff(axiom, axiom, ![X1: object, X2: object]: (p__greater_equal__(X1, X2) <=> p__less_equal__(X2, X1))).
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tff(axiom, axiom, ![X1: object, X2: object]: (p__greater__(X1, X2) <=> (p__less_equal__(X2, X1) & (X1 != X2)))).
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tff(axiom, axiom, ![X: $int]: p__less__(c__infimum__, f__integer__(X))).
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tff(axiom, axiom, ![X1: $int, X2: $i]: p__less__(f__integer__(X1), f__symbolic__(X2))).
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tff(axiom, axiom, ![X: $i]: p__less__(f__symbolic__(X), c__supremum__)).
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