Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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 A, ExprRange, ExprTuple, IndexedVar, V, Variable, W, n
from proveit.linear_algebra import LinMap
from proveit.logic import InSet
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(A, sub_expr1), LinMap(IndexedVar(V, sub_expr1), IndexedVar(W, sub_expr1))), one, n))

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} \in \mathcal{L}\left(V_{1}, W_{1}\right)\right), \left(A_{2} \in \mathcal{L}\left(V_{2}, W_{2}\right)\right), \ldots, \left(A_{n} \in \mathcal{L}\left(V_{n}, W_{n}\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	ExprRange	lambda_map: 2 start_index: 3 end_index: 4
2	Lambda	parameter: 18 body: 5
3	Literal
4	Variable
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 9
8	IndexedVar	variable: 10 index: 18
9	Operation	operator: 11 operands: 12
10	Variable
11	Literal
12	ExprTuple	13, 14
13	IndexedVar	variable: 15 index: 18
14	IndexedVar	variable: 16 index: 18
15	Variable
16	Variable
17	ExprTuple	18
18	Variable