Expression of type Lambda

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

# build up the expression from sub-expressions
expr = Lambda(l, Conditional(InSet(frac(one, Exp(l, two)), Real), 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())

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

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 20 body: 2
1	ExprTuple	20
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	20, 10
8	Operation	operator: 11 operands: 12
9	Literal
10	Operation	operator: 13 operands: 14
11	Literal
12	ExprTuple	32, 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 22 operands: 18
16	Variable
17	Operation	operator: 26 operands: 19
18	ExprTuple	20, 24
19	ExprTuple	21, 29
20	Variable
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 29
28	Variable
29	Operation	operator: 30 operand: 32
30	Literal
31	ExprTuple	32
32	Literal