Expression of type ScalarMult

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 Function, s
from proveit.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k, f__b_1_to_j
from proveit.linear_algebra import ScalarMult, TensorProd

# build up the expression from sub-expressions
expr = ScalarMult(Function(s, [b_1_to_j]), TensorProd(a_1_to_i, f__b_1_to_j, c_1_to_k))

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())

s\left(b_{1}, b_{2}, \ldots, b_{j}\right) \cdot \left(a_{1} {\otimes}  a_{2} {\otimes}  \ldots {\otimes}  a_{i} {\otimes} f\left(b_{1}, b_{2}, \ldots, b_{j}\right){\otimes} c_{1} {\otimes}  c_{2} {\otimes}  \ldots {\otimes}  c_{k}\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4
3	Operation	operator: 5 operands: 14
4	Operation	operator: 6 operands: 7
5	Variable
6	Literal
7	ExprTuple	8, 9, 10
8	ExprRange	lambda_map: 11 start_index: 22 end_index: 12
9	Operation	operator: 13 operands: 14
10	ExprRange	lambda_map: 15 start_index: 22 end_index: 16
11	Lambda	parameter: 28 body: 17
12	Variable
13	Variable
14	ExprTuple	18
15	Lambda	parameter: 28 body: 19
16	Variable
17	IndexedVar	variable: 20 index: 28
18	ExprRange	lambda_map: 21 start_index: 22 end_index: 23
19	IndexedVar	variable: 24 index: 28
20	Variable
21	Lambda	parameter: 28 body: 25
22	Literal
23	Variable
24	Variable
25	IndexedVar	variable: 26 index: 28
26	Variable
27	ExprTuple	28
28	Variable