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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, x
from proveit.logic import Card, SetOfAll
from proveit.numbers import Interval, Mod
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Card(SetOfAll(instance_param_or_params = [x], instance_element = Mod(x, N), domain = Interval(a, b))), N)
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\{x ~\textup{mod}~ N\right\}_{x \in \{a~\ldotp \ldotp~b\}}|, N\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 16
1Operationoperator: 2
operand: 4
2Literal
3ExprTuple4
4Operationoperator: 5
operand: 7
5Literal
6ExprTuple7
7Lambdaparameter: 17
body: 9
8ExprTuple17
9Conditionalvalue: 10
condition: 11
10Operationoperator: 12
operands: 13
11Operationoperator: 14
operands: 15
12Literal
13ExprTuple17, 16
14Literal
15ExprTuple17, 18
16Variable
17Variable
18Operationoperator: 19
operands: 20
19Literal
20ExprTuple21, 22
21Variable
22Variable