Expression of type ExprTuple

from the theory of proveit.linear_algebra

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, Function, Lambda, S, T, V, v
from proveit.linear_algebra import LinMapAdd
from proveit.logic import Equals, InSet
from proveit.numbers import Add

# build up the expression from sub-expressions
sub_expr1 = [v]
expr = ExprTuple(Lambda(v, Conditional(Equals(Function(LinMapAdd(S, T), sub_expr1), Add(Function(S, sub_expr1), Function(T, sub_expr1))), InSet(v, V))))

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(v \mapsto \left\{\left(S + T\right)\left(v\right) = \left(S\left(v\right) + T\left(v\right)\right) \textrm{ if } v \in V\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: 22 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	22, 11
9	Operation	operator: 12 operand: 22
10	Operation	operator: 13 operands: 14
11	Variable
12	Operation	operator: 15 operands: 16
13	Literal
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	19, 20
17	Operation	operator: 19 operand: 22
18	Operation	operator: 20 operand: 22
19	Variable
20	Variable
21	ExprTuple	22
22	Variable