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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 ExprTuple, a, b, c, theta
from proveit.numbers import Abs, Exp, Mult, e, i, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Abs(a)
expr = ExprTuple(Mult(sub_expr1, Abs(b), Abs(Exp(e, Mult(i, theta))), Abs(c)), Mult(sub_expr1, b, one, 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| \cdot \left|b\right| \cdot \left|\mathsf{e}^{\mathsf{i} \cdot \theta}\right| \cdot \left|c\right|, \left|a\right| \cdot b \cdot 1 \cdot c\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: 23
operands: 3
2Operationoperator: 23
operands: 4
3ExprTuple8, 5, 6, 7
4ExprTuple8, 15, 9, 17
5Operationoperator: 13
operand: 15
6Operationoperator: 13
operand: 16
7Operationoperator: 13
operand: 17
8Operationoperator: 13
operand: 18
9Literal
10ExprTuple15
11ExprTuple16
12ExprTuple17
13Literal
14ExprTuple18
15Variable
16Operationoperator: 19
operands: 20
17Variable
18Variable
19Literal
20ExprTuple21, 22
21Literal
22Operationoperator: 23
operands: 24
23Literal
24ExprTuple25, 26
25Literal
26Variable