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Expression of type ExprTuple

from the theory of proveit.numbers.integration

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, e, l, t
from proveit.numbers import Exp, Integrate, IntervalCC, Real, frac, one, subtract, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Integrate(index_or_indices = [l], integrand = frac(one, Exp(l, two)), domain = IntervalCC(e, subtract(Exp(two, subtract(t, one)), one))), Real)
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(\int_{e}^{2^{t - 1} - 1} \frac{1}{l^{2}}\,dl, \mathbb{R}\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: 3
operand: 5
2Literal
3Literal
4ExprTuple5
5Lambdaparameter: 19
body: 7
6ExprTuple19
7Conditionalvalue: 8
condition: 9
8Operationoperator: 10
operands: 11
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple34, 14
12Literal
13ExprTuple19, 15
14Operationoperator: 24
operands: 16
15Operationoperator: 17
operands: 18
16ExprTuple19, 26
17Literal
18ExprTuple20, 21
19Variable
20Variable
21Operationoperator: 28
operands: 22
22ExprTuple23, 31
23Operationoperator: 24
operands: 25
24Literal
25ExprTuple26, 27
26Literal
27Operationoperator: 28
operands: 29
28Literal
29ExprTuple30, 31
30Variable
31Operationoperator: 32
operand: 34
32Literal
33ExprTuple34
34Literal