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Expression of type ExprTuple

from the theory of proveit.numbers.addition

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, a, b, d, n
from proveit.core_expr_types import a_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(a, b, a_1_to_n), d), Add(frac(a, d), frac(b, d), ExprRange(sub_expr1, frac(IndexedVar(a, sub_expr1), d), 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{a + b+ a_{1} +  a_{2} +  \ldots +  a_{n}}{d}, \frac{a}{d} + \frac{b}{d}+ \frac{a_{1}}{d} +  \frac{a_{2}}{d} +  \ldots +  \frac{a_{n}}{d}\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: 20
operands: 3
2Operationoperator: 9
operands: 4
3ExprTuple5, 23
4ExprTuple6, 7, 8
5Operationoperator: 9
operands: 10
6Operationoperator: 20
operands: 11
7Operationoperator: 20
operands: 12
8ExprRangelambda_map: 13
start_index: 18
end_index: 19
9Literal
10ExprTuple24, 15, 14
11ExprTuple24, 23
12ExprTuple15, 23
13Lambdaparameter: 26
body: 16
14ExprRangelambda_map: 17
start_index: 18
end_index: 19
15Variable
16Operationoperator: 20
operands: 21
17Lambdaparameter: 26
body: 22
18Literal
19Variable
20Literal
21ExprTuple22, 23
22IndexedVarvariable: 24
index: 26
23Variable
24Variable
25ExprTuple26
26Variable