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Expression of type ExprTuple

from the theory of proveit.numbers.modular

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, N, a, b, c, x
from proveit.logic import SetOfAll
from proveit.numbers import Add, Interval, Mod
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(SetOfAll(instance_param_or_params = [x], instance_element = Mod(Add(c, x), N), domain = Interval(a, b)))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\left\{\left(c + x\right) ~\textup{mod}~ N\right\}_{x \in \{a~\ldotp \ldotp~b\}}\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Operationoperator: 2
operand: 4
2Literal
3ExprTuple4
4Lambdaparameter: 21
body: 6
5ExprTuple21
6Conditionalvalue: 7
condition: 8
7Operationoperator: 9
operands: 10
8Operationoperator: 11
operands: 12
9Literal
10ExprTuple13, 14
11Literal
12ExprTuple21, 15
13Operationoperator: 16
operands: 17
14Variable
15Operationoperator: 18
operands: 19
16Literal
17ExprTuple20, 21
18Literal
19ExprTuple22, 23
20Variable
21Variable
22Variable
23Variable