Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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, Lambda
from proveit.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k, d_1_to_j
from proveit.logic import Equals

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a_1_to_i, b_1_to_j, c_1_to_k, d_1_to_j], Conditional(Equals([a_1_to_i, b_1_to_j, c_1_to_k], [a_1_to_i, d_1_to_j, c_1_to_k]).with_wrapping_at(2), Equals([b_1_to_j], [d_1_to_j]))))

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_{1}, a_{2}, \ldots, a_{i}, b_{1}, b_{2}, \ldots, b_{j}, c_{1}, c_{2}, \ldots, c_{k}, d_{1}, d_{2}, \ldots, d_{j}\right) \mapsto \left\{\begin{array}{c} \begin{array}{l} \left(a_{1}, a_{2}, \ldots, a_{i},b_{1}, b_{2}, \ldots, b_{j},c_{1}, c_{2}, \ldots, c_{k}\right) =  \\ \left(a_{1}, a_{2}, \ldots, a_{i},d_{1}, d_{2}, \ldots, d_{j},c_{1}, c_{2}, \ldots, c_{k}\right) \end{array} \end{array} \textrm{ if } \left(b_{1}, b_{2}, \ldots, b_{j}\right) = \left(d_{1}, d_{2}, \ldots, d_{j}\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: 2 body: 3
2	ExprTuple	13, 15, 14, 16
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12
9	ExprTuple	13, 15, 14
10	ExprTuple	13, 16, 14
11	ExprTuple	15
12	ExprTuple	16
13	ExprRange	lambda_map: 17 start_index: 23 end_index: 18
14	ExprRange	lambda_map: 19 start_index: 23 end_index: 20
15	ExprRange	lambda_map: 21 start_index: 23 end_index: 24
16	ExprRange	lambda_map: 22 start_index: 23 end_index: 24
17	Lambda	parameter: 34 body: 25
18	Variable
19	Lambda	parameter: 34 body: 26
20	Variable
21	Lambda	parameter: 34 body: 27
22	Lambda	parameter: 34 body: 28
23	Literal
24	Variable
25	IndexedVar	variable: 29 index: 34
26	IndexedVar	variable: 30 index: 34
27	IndexedVar	variable: 31 index: 34
28	IndexedVar	variable: 32 index: 34
29	Variable
30	Variable
31	Variable
32	Variable
33	ExprTuple	34
34	Variable