Expression of type ExprTuple

from the theory of proveit.numbers.integration

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 Conditional, ExprTuple, Lambda, e, l, t
from proveit.logic import InSet
from proveit.numbers import Exp, IntervalCC, frac, one, subtract, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(frac(one, Exp(l, two)), InSet(l, IntervalCC(e, subtract(Exp(two, subtract(t, one)), one))))))

expr:

# 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

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(l \mapsto \left\{\frac{1}{l^{2}} \textrm{ if } l \in \left[e,2^{t - 1} - 1\right]\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 15 body: 3
2	ExprTuple	15
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	30, 10
8	Literal
9	ExprTuple	15, 11
10	Operation	operator: 20 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 22
13	Literal
14	ExprTuple	16, 17
15	Variable
16	Variable
17	Operation	operator: 24 operands: 18
18	ExprTuple	19, 27
19	Operation	operator: 20 operands: 21
20	Literal
21	ExprTuple	22, 23
22	Literal
23	Operation	operator: 24 operands: 25
24	Literal
25	ExprTuple	26, 27
26	Variable
27	Operation	operator: 28 operand: 30
28	Literal
29	ExprTuple	30
30	Literal