Expression of type ExprTuple

from the theory of proveit.linear_algebra.inner_products

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, H, Lambda, x
from proveit.linear_algebra import InnerProd, Norm
from proveit.logic import Equals, InSet
from proveit.numbers import sqrt

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Equals(Norm(x), sqrt(InnerProd(x, x))), InSet(x, H))))

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\{\left \|x\right \| = \sqrt{\left \langle x, x\right \rangle} \textrm{ if } x \in H\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: 14 operands: 15
11	Variable
12	Literal
13	ExprTuple	22
14	Literal
15	ExprTuple	16, 17
16	Operation	operator: 18 operands: 19
17	Operation	operator: 20 operands: 21
18	Literal
19	ExprTuple	22, 22
20	Literal
21	ExprTuple	23, 24
22	Variable
23	Literal
24	Literal