# follow axiom in a sentence

1) Different equality

**axioms**are

**followed**by state holders.

2) The two dogmas are jointly encapsulated in the

**following**axiom.

axiom collocations

3) From its well-foundedness

**follows**an

**axiom**of foundation.

4) The operations of addition and multiplication in a vector space satisfy the

**following**

**axioms**.

## follow axiom example sentences

5) One such axiomatization begins with the**following**

**axioms**that describe a discrete ordered semiring.

6) The

**following**

**axioms**are known as the "basic

**axioms**", or sometimes the "Robinson

**axioms**.

7) The binary relation __FORMULA__ is a "descriptive EF-proximity", provided the

**following**

**axioms**are satisfied for __FORMULA__.

8) The

**following**

**axioms**can explain how miscommunication can occur if all the communicators are not on the same page.

9)

**following**each symbolic

**axiom**or definition is the number of the corresponding formula in Casati and Varzi, written in bold.

10) With the exception of Class Comprehension, the

**following**

**axioms**are the same as those for NBG, inessential details aside.

11) The operational semantics of pure ambient safe calculus are defined in terms of a reduction relation __FORMULA__ by the

**following**

**axioms**and rules.

12) The

**following**EF-proximity space

**axioms**are given by Jurij Michailov Smirnov based on what Vadim Arsenyevič Efremovič introduced during the first half of the 1930s. Let __FORMULA__.

13) After each of the

**following**

**axioms**is shown the number of the corresponding theorem in chpt. 3 of Suppes (1960), an exposition of ZFC: B4 27, B5 45, B6 14, B7 26, B8 16, B9 23.

14) These data are required to satisfy the

**following**

**axioms**:

### example sentences with axiom

15) Furthermore, we impose the**following**

**axioms**:

16) The Chern classes satisfy the

**following**four

**axioms**:

17) The

**following**five

**axioms**are identical to their ZFC counterparts:

18) Nishida (1999) describes the

**following**nine

**axioms**:

19) Often, __FORMULA__ is required to satisfy the

**following**two

**axioms**:

20) Remarkably, Euclidean geometry requires just the

**following**further

**axioms**:

21) We have the

**following**

**axioms**(taken from Lewis 1968):

22) The

**following**

**axiom**is added to turn ZF into ZFC:

23) As a system of thought, "laissez-faire" rests on the

**following**

**axioms**:

24) The system of classical logic is obtained by adding any one of the

**following**

**axioms**:

25) that satisfies the

**following**three

**axioms**for all vectors __FORMULA__ and all scalars __FORMULA__:

26) Each building is a simplicial complex "X" which has to satisfy the

**following**

**axioms**:

27) The algebraic definition for the Lie derivative of a tensor field

**follows**from the

**following**four

**axioms**:

28) These data are subject to the

**following**

**axioms**(4 and 5 were added by Atiyah):

29) This version of a universe is defined to be any set for which the

**following**

**axioms**hold:

30) A "sheaf" is a presheaf with values in the category of sets that satisfies the

**following**two

**axioms**:

31) By way of example, the value of the fluent __FORMULA__ introduced above is given by the

**following**successor state axiom:

32) We have a language __FORMULA__ where __FORMULA__ is a constant symbol and __FORMULA__ is a unary function and the

**following**

**axioms**:

33) A stochastic inner product space is a stochastic vector space equipped with an inner product map which obeys the

**following**

**axioms**for any event :

34) Definition 6 (Stochastic metric spaces) A stochastic metric space is defined to be a stochastic set, together with a stochastic function that obeys the

**following**

**axioms**for each event :

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