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Expression of type ExprTuple

from the theory of proveit.numbers.absolute_value

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, c, n, x
from proveit.numbers import Abs, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Abs(a), Abs(b), ExprRange(sub_expr1, Abs(IndexedVar(x, sub_expr1)), one, n), Abs(c))
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|a\right|, \left|b\right|,\left|x_{1}\right|, \left|x_{2}\right|, \ldots, \left|x_{n}\right|, \left|c\right|\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, 3, 4
1Operationoperator: 15
operand: 11
2Operationoperator: 15
operand: 12
3ExprRangelambda_map: 7
start_index: 8
end_index: 9
4Operationoperator: 15
operand: 14
5ExprTuple11
6ExprTuple12
7Lambdaparameter: 20
body: 13
8Literal
9Variable
10ExprTuple14
11Variable
12Variable
13Operationoperator: 15
operand: 17
14Variable
15Literal
16ExprTuple17
17IndexedVarvariable: 18
index: 20
18Variable
19ExprTuple20
20Variable