Expression of type ExprTuple

from the theory of proveit.linear_algebra.scalar_multiplication

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, V, x, y
from proveit.linear_algebra import binary_lin_comb_ax_by
from proveit.logic import And, InSet

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], Conditional(InSet(binary_lin_comb_ax_by, V), And(InSet(x, V), InSet(y, 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(\left(x, y\right) \mapsto \left\{\left(\left(a \cdot x\right) + \left(b \cdot y\right)\right) \in V \textrm{ if } x \in V ,  y \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	parameters: 2 body: 3
2	ExprTuple	24, 26
3	Conditional	value: 4 condition: 5
4	Operation	operator: 15 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 19
7	Literal
8	ExprTuple	10, 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 15 operands: 14
11	Operation	operator: 15 operands: 16
12	Literal
13	ExprTuple	17, 18
14	ExprTuple	24, 19
15	Literal
16	ExprTuple	26, 19
17	Operation	operator: 21 operands: 20
18	Operation	operator: 21 operands: 22
19	Variable
20	ExprTuple	23, 24
21	Literal
22	ExprTuple	25, 26
23	Variable
24	Variable
25	Variable
26	Variable