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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, d, 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}")
sub_expr2 = Add(ExprRange(sub_expr1, frac(IndexedVar(a, sub_expr1), d), one, n))
expr = ExprTuple(sub_expr2, sub_expr2)
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_{1}}{d} +  \frac{a_{2}}{d} +  \ldots +  \frac{a_{n}}{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, 1
1Operationoperator: 2
operands: 3
2Literal
3ExprTuple4
4ExprRangelambda_map: 5
start_index: 6
end_index: 7
5Lambdaparameter: 15
body: 8
6Literal
7Variable
8Operationoperator: 9
operands: 10
9Literal
10ExprTuple11, 12
11IndexedVarvariable: 13
index: 15
12Variable
13Variable
14ExprTuple15
15Variable