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
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
sub_expr1 = InSet(i, Interval(two, four))
expr = ExprTuple(Lambda(i, Equals(Conditional(ScalarMult(ScalarMult(gamma, beta), fi), sub_expr1), Conditional(ScalarMult(Mult(gamma, beta), fi), sub_expr1))))

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