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

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(i, Conditional(Equals(ScalarMult(ScalarMult(gamma, i), y), ScalarMult(Mult(gamma, i), y)), 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(\left(\gamma \cdot i\right) \cdot y\right) = \left(\left(\gamma \cdot i\right) \cdot y\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: 26 body: 3
2	ExprTuple	26
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	26, 12
10	Operation	operator: 22 operands: 13
11	Operation	operator: 22 operands: 14
12	Operation	operator: 15 operands: 16
13	ExprTuple	17, 19
14	ExprTuple	18, 19
15	Literal
16	ExprTuple	20, 21
17	Operation	operator: 22 operands: 24
18	Operation	operator: 23 operands: 24
19	Variable
20	Literal
21	Literal
22	Literal
23	Literal
24	ExprTuple	25, 26
25	Variable
26	Variable