Expression of type Lambda

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, 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 = 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())

A \mapsto \left\{A^{m} \in \textrm{U}\left(n\right) \textrm{ if } A \in \textrm{U}\left(n\right)\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 14 body: 2
1	ExprTuple	14
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	14, 9
8	Operation	operator: 10 operands: 11
9	Operation	operator: 12 operand: 16
10	Literal
11	ExprTuple	14, 15
12	Literal
13	ExprTuple	16
14	Variable
15	Variable
16	Variable