Expression of type ExprTuple

from the theory of proveit.numbers.exponentiation

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, ExprRange, ExprTuple, Lambda, Variable, n, x
from proveit.logic import Equals, InSet
from proveit.numbers import Complex, Exp, Mult, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Equals(Mult(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), x, one, n)), Exp(x, n)), InSet(x, Complex))))

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(x \mapsto \left\{\left(x \cdot  x \cdot  ..\left(n - 3\right) \times.. \cdot  x\right) = x^{n} \textrm{ if } x \in \mathbb{C}\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: 22 body: 3
2	ExprTuple	22
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	22, 12
10	Operation	operator: 13 operands: 14
11	Operation	operator: 15 operands: 16
12	Literal
13	Literal
14	ExprTuple	17
15	Literal
16	ExprTuple	22, 20
17	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
18	Lambda	parameter: 23 body: 22
19	Literal
20	Variable
21	ExprTuple	23
22	Variable
23	Variable