Expression of type ExprTuple

from the theory of proveit.linear_algebra.matrices.exponentiation

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, Conditional, ExprTuple, Lambda, m, n
from proveit.linear_algebra import MatrixExp, Unitary
from proveit.logic import InSet

# build up the expression from sub-expressions
sub_expr1 = Unitary(n)
expr = ExprTuple(Lambda(A, Conditional(InSet(MatrixExp(A, m), sub_expr1), InSet(A, sub_expr1))))

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 \mapsto \left\{A^{m} \in \textrm{U}\left(n\right) \textrm{ if } A \in \textrm{U}\left(n\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: 3
2	ExprTuple	15
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	15, 10
9	Operation	operator: 11 operands: 12
10	Operation	operator: 13 operand: 17
11	Literal
12	ExprTuple	15, 16
13	Literal
14	ExprTuple	17
15	Variable
16	Variable
17	Variable