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, Lambda, V, x
from proveit.linear_algebra import Identity
from proveit.logic import Equals, InSet

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(V, Equals(Identity(V), Lambda(x, Conditional(x, 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(V \mapsto \left(I_{V} = \left[x \mapsto \left\{x \textrm{ if } x \in V\right..\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: 15 body: 2
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operand: 15
6	Lambda	parameter: 14 body: 10
7	Literal
8	ExprTuple	15
9	ExprTuple	14
10	Conditional	value: 14 condition: 11
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	14, 15
14	Variable
15	Variable