Expression of type ExprTuple

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, ExprTuple, 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 = ExprTuple(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())

\left(k \mapsto \left\{v\left(k - \left(-1\right)\right) \textrm{ if } k \in \{0 - 1~\ldotp \ldotp~2^{t} - 1\}\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 operand: 10
5	Operation	operator: 8 operands: 9
6	Variable
7	ExprTuple	10
8	Literal
9	ExprTuple	15, 11
10	Operation	operator: 21 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 16
13	Literal
14	ExprTuple	17, 18
15	Variable
16	Operation	operator: 28 operand: 25
17	Operation	operator: 21 operands: 20
18	Operation	operator: 21 operands: 22
19	ExprTuple	25
20	ExprTuple	23, 25
21	Literal
22	ExprTuple	24, 25
23	Literal
24	Operation	operator: 26 operands: 27
25	Operation	operator: 28 operand: 32
26	Literal
27	ExprTuple	30, 31
28	Literal
29	ExprTuple	32
30	Literal
31	Variable
32	Literal