logo

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, L, b
from proveit.core_expr_types import a_1_to_i, c_1_to_j
from proveit.numbers import Add, Mod
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Add(a_1_to_i, Mod(b, L), c_1_to_j), L)
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(a_{1} +  a_{2} +  \ldots +  a_{i} + \left(b ~\textup{mod}~ L\right)+ c_{1} +  c_{2} +  \ldots +  c_{j}, L\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
operands: 3
2Literal
3ExprTuple4, 5, 6
4ExprRangelambda_map: 7
start_index: 12
end_index: 8
5Operationoperator: 9
operands: 10
6ExprRangelambda_map: 11
start_index: 12
end_index: 13
7Lambdaparameter: 21
body: 14
8Variable
9Literal
10ExprTuple15, 16
11Lambdaparameter: 21
body: 17
12Literal
13Variable
14IndexedVarvariable: 18
index: 21
15Variable
16Variable
17IndexedVarvariable: 19
index: 21
18Variable
19Variable
20ExprTuple21
21Variable