Expression of type ExprTuple

from the theory of proveit.logic.sets.cartesian_products

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 ExprRange, ExprTuple, Lambda, S, Variable, m
from proveit.logic import CartExp, CartProd, Equals
from proveit.numbers import one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(S, Equals(CartExp(S, m), CartProd(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), S, one, m)))))

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(S \mapsto \left(S^{m} = \left(S \times  S \times  ..\left(m - 3\right) \times.. \times  S\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: 17 body: 3
2	ExprTuple	17
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operands: 9
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	17, 15
10	Literal
11	ExprTuple	12
12	ExprRange	lambda_map: 13 start_index: 14 end_index: 15
13	Lambda	parameter: 18 body: 17
14	Literal
15	Variable
16	ExprTuple	18
17	Variable
18	Variable