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 Conditional, ExprTuple, Function, Lambda, s
from proveit.core_expr_types import Q__b_1_to_j, b_1_to_j, f__b_1_to_j
from proveit.linear_algebra import ScalarMult

# build up the expression from sub-expressions
sub_expr1 = [b_1_to_j]
expr = ExprTuple(Lambda(sub_expr1, Conditional(ScalarMult(Function(s, sub_expr1), f__b_1_to_j), Q__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(\left(b_{1}, b_{2}, \ldots, b_{j}\right) \mapsto \left\{s\left(b_{1}, b_{2}, \ldots, b_{j}\right) \cdot f\left(b_{1}, b_{2}, \ldots, b_{j}\right) \textrm{ if } Q\left(b_{1}, b_{2}, \ldots, b_{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: 12 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 12
5	Literal
6	ExprTuple	8, 9
7	Variable
8	Operation	operator: 10 operands: 12
9	Operation	operator: 11 operands: 12
10	Variable
11	Variable
12	ExprTuple	13
13	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
14	Lambda	parameter: 20 body: 17
15	Literal
16	Variable
17	IndexedVar	variable: 18 index: 20
18	Variable
19	ExprTuple	20
20	Variable