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Expression of type ExprTuple

from the theory of proveit.numbers.division

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 ExprRange, ExprTuple, IndexedVar, Variable, n, x, y
from proveit.core_expr_types import x_1_to_n
from proveit.numbers import Add, frac, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(frac(Add(x_1_to_n), y), Add(ExprRange(sub_expr1, frac(IndexedVar(x, sub_expr1), y), one, 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(\frac{x_{1} +  x_{2} +  \ldots +  x_{n}}{y}, \frac{x_{1}}{y} +  \frac{x_{2}}{y} +  \ldots +  \frac{x_{n}}{y}\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, 2
1Operationoperator: 15
operands: 3
2Operationoperator: 7
operands: 4
3ExprTuple5, 18
4ExprTuple6
5Operationoperator: 7
operands: 8
6ExprRangelambda_map: 9
start_index: 13
end_index: 14
7Literal
8ExprTuple10
9Lambdaparameter: 21
body: 11
10ExprRangelambda_map: 12
start_index: 13
end_index: 14
11Operationoperator: 15
operands: 16
12Lambdaparameter: 21
body: 17
13Literal
14Variable
15Literal
16ExprTuple17, 18
17IndexedVarvariable: 19
index: 21
18Variable
19Variable
20ExprTuple21
21Variable