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 A, B, ExprTuple, m, n
from proveit.linear_algebra import Dim, HilbertSpaces
from proveit.logic import Equals, InClass

# build up the expression from sub-expressions
expr = ExprTuple(InClass(A, HilbertSpaces), InClass(B, HilbertSpaces), Equals(Dim(A), m), Equals(Dim(B), n))

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(A \underset{{\scriptscriptstyle c}}{\in} \textrm{HilbertSpaces}, B \underset{{\scriptscriptstyle c}}{\in} \textrm{HilbertSpaces}, \textrm{Dim}\left(A\right) = m, \textrm{Dim}\left(B\right) = n\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2, 3, 4
1	Operation	operator: 6 operands: 5
2	Operation	operator: 6 operands: 7
3	Operation	operator: 9 operands: 8
4	Operation	operator: 9 operands: 10
5	ExprTuple	19, 11
6	Literal
7	ExprTuple	20, 11
8	ExprTuple	12, 13
9	Literal
10	ExprTuple	14, 15
11	Literal
12	Operation	operator: 17 operand: 19
13	Variable
14	Operation	operator: 17 operand: 20
15	Variable
16	ExprTuple	19
17	Literal
18	ExprTuple	20
19	Variable
20	Variable