Expression of type Lambda

from the theory of proveit.core_expr_types.expr_arrays

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 ExprArray, Lambda
from proveit.core_expr_types import a_1_to_i, b_1_to_j
from proveit.logic import NotEquals

# build up the expression from sub-expressions
expr = Lambda([a_1_to_i, b_1_to_j], NotEquals(ExprArray(a_1_to_i), ExprArray(b_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(a_{1}, a_{2}, \ldots, a_{i}, b_{1}, b_{2}, \ldots, b_{j}\right) \mapsto \left(\left(\begin{array}{c} 
 \multicolumn{1}{c}{\begin{array}{lcr} \leftarrow & a_{1} & \rightarrow \end{array}} \\
\multicolumn{1}{c}{\begin{array}{lcr} \leftarrow & a_{2} & \rightarrow \end{array}} \\
\multicolumn{1}{c}{\begin{array}{lcr} \leftarrow & \vdots & \rightarrow \end{array}} \\
\multicolumn{1}{c}{\begin{array}{lcr} \leftarrow & a_{i} & \rightarrow \end{array}} \\
\end{array}
\right) \neq \left(\begin{array}{c} 
 \multicolumn{1}{c}{\begin{array}{lcr} \leftarrow & b_{1} & \rightarrow \end{array}} \\
\multicolumn{1}{c}{\begin{array}{lcr} \leftarrow & b_{2} & \rightarrow \end{array}} \\
\multicolumn{1}{c}{\begin{array}{lcr} \leftarrow & \vdots & \rightarrow \end{array}} \\
\multicolumn{1}{c}{\begin{array}{lcr} \leftarrow & b_{j} & \rightarrow \end{array}} \\
\end{array}
\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameters: 1 body: 2
1	ExprTuple	7, 8
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	ExprTuple	7
6	ExprTuple	8
7	ExprRange	lambda_map: 9 start_index: 12 end_index: 10
8	ExprRange	lambda_map: 11 start_index: 12 end_index: 13
9	Lambda	parameter: 19 body: 14
10	Variable
11	Lambda	parameter: 19 body: 15
12	Literal
13	Variable
14	IndexedVar	variable: 16 index: 19
15	IndexedVar	variable: 17 index: 19
16	Variable
17	Variable
18	ExprTuple	19
19	Variable