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, Lambda, beta, fi, gamma, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd
from proveit.logic import InSet
from proveit.numbers import Interval, four, two

# build up the expression from sub-expressions
sub_expr1 = TensorProd(x, fi, y)
sub_expr2 = InSet(i, Interval(two, four))
expr = ExprTuple(Lambda(i, Conditional(ScalarMult(gamma, ScalarMult(beta, sub_expr1)), sub_expr2)), Lambda(i, Conditional(ScalarMult(ScalarMult(gamma, beta), sub_expr1), sub_expr2)))

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(i \mapsto \left\{\gamma \cdot \left(\beta \cdot \left(x {\otimes} f\left(i\right) {\otimes} y\right)\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right.., i \mapsto \left\{\left(\gamma \cdot \beta\right) \cdot \left(x {\otimes} f\left(i\right) {\otimes} y\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right..\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Lambda	parameter: 32 body: 3
2	Lambda	parameter: 32 body: 4
3	Conditional	value: 5 condition: 7
4	Conditional	value: 6 condition: 7
5	Operation	operator: 16 operands: 8
6	Operation	operator: 16 operands: 9
7	Operation	operator: 10 operands: 11
8	ExprTuple	21, 12
9	ExprTuple	13, 20
10	Literal
11	ExprTuple	32, 14
12	Operation	operator: 16 operands: 15
13	Operation	operator: 16 operands: 17
14	Operation	operator: 18 operands: 19
15	ExprTuple	22, 20
16	Literal
17	ExprTuple	21, 22
18	Literal
19	ExprTuple	23, 24
20	Operation	operator: 25 operands: 26
21	Variable
22	Variable
23	Literal
24	Literal
25	Literal
26	ExprTuple	27, 28, 29
27	Variable
28	Operation	operator: 30 operand: 32
29	Variable
30	Variable
31	ExprTuple	32
32	Variable