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, gamma, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd
from proveit.logic import Equals, InSet
from proveit.numbers import Interval, Mult, four, two

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

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\{\left(\gamma \cdot \left(i \cdot \left(x {\otimes} y\right)\right)\right) = \left(\left(\gamma \cdot i\right) \cdot \left(x {\otimes} y\right)\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\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	parameter: 27 body: 3
2	ExprTuple	27
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	27, 12
10	Operation	operator: 21 operands: 13
11	Operation	operator: 21 operands: 14
12	Operation	operator: 15 operands: 16
13	ExprTuple	26, 17
14	ExprTuple	18, 25
15	Literal
16	ExprTuple	19, 20
17	Operation	operator: 21 operands: 22
18	Operation	operator: 23 operands: 24
19	Literal
20	Literal
21	Literal
22	ExprTuple	27, 25
23	Literal
24	ExprTuple	26, 27
25	Operation	operator: 28 operands: 29
26	Variable
27	Variable
28	Literal
29	ExprTuple	30, 31
30	Variable
31	Variable