Expression of type ExprTuple

from the theory of proveit.linear_algebra.linear_maps

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, P, Px, V, c, x
from proveit.linear_algebra import ScalarMult
from proveit.logic import Equals, InSet

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Equals(Function(P, [ScalarMult(c, x)]), ScalarMult(c, Px)), InSet(x, 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(x \mapsto \left\{P\left(c \cdot x\right) = \left(c \cdot P\left(x\right)\right) \textrm{ if } x \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: 21 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	21, 11
9	Operation	operator: 18 operand: 14
10	Operation	operator: 16 operands: 13
11	Variable
12	ExprTuple	14
13	ExprTuple	20, 15
14	Operation	operator: 16 operands: 17
15	Operation	operator: 18 operand: 21
16	Literal
17	ExprTuple	20, 21
18	Variable
19	ExprTuple	21
20	Variable
21	Variable