Expression of type ExprTuple

from the theory of proveit.numbers.numerals.decimals

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, Variable, a, b, c, d, e, f
from proveit.core_expr_types import Len
from proveit.logic import Equals
from proveit.numbers import one, six

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [a, b, c, d, e, f]
expr = ExprTuple(Lambda(sub_expr2, Equals(Len(operands = sub_expr2), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, six)]))))

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(\left(a, b, c, d, e, f\right) \mapsto \left(|\left(a, b, c, d, e, f\right)| = |\left(1, 2, \ldots, 6\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	parameters: 7 body: 2
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 8 operands: 7
6	Operation	operator: 8 operands: 9
7	ExprTuple	10, 11, 12, 13, 14, 15
8	Literal
9	ExprTuple	16
10	Variable
11	Variable
12	Variable
13	Variable
14	Variable
15	Variable
16	ExprRange	lambda_map: 17 start_index: 18 end_index: 19
17	Lambda	parameter: 21 body: 21
18	Literal
19	Literal
20	ExprTuple	21
21	Variable