Expression of type Lambda

from the theory of proveit.linear_algebra.addition

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, Function, Lambda, k, t, v
from proveit.logic import InSet
from proveit.numbers import Exp, Interval, Neg, one, subtract, two, zero

# build up the expression from sub-expressions
expr = Lambda(k, Conditional(Function(v, [subtract(k, Neg(one))]), InSet(k, Interval(subtract(zero, one), subtract(Exp(two, t), 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())

k \mapsto \left\{v\left(k - \left(-1\right)\right) \textrm{ if } k \in \{0 - 1~\ldotp \ldotp~2^{t} - 1\}\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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