Expression of type Lambda

from the theory of proveit.physics.quantum.circuits

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 ExprRange, IndexedVar, Lambda, T, Variable, k, m
from proveit.logic import Disjoint
from proveit.numbers import Interval, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
expr = Lambda(sub_expr1, ExprRange(sub_expr2, Disjoint(IndexedVar(T, [sub_expr1, sub_expr2]), Interval(one, k)), one, m))

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())

{_{-}b} \mapsto \textrm{disjoint}\left(T_{{_{-}b}, 1}, \{1~\ldotp \ldotp~k\}\right), \textrm{disjoint}\left(T_{{_{-}b}, 2}, \{1~\ldotp \ldotp~k\}\right), \ldots, \textrm{disjoint}\left(T_{{_{-}b}, m}, \{1~\ldotp \ldotp~k\}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 15 body: 2
1	ExprTuple	15
2	ExprRange	lambda_map: 3 start_index: 17 end_index: 4
3	Lambda	parameter: 16 body: 6
4	Variable
5	ExprTuple	16
6	Operation	operator: 7 operands: 8
7	Literal
8	ExprTuple	9, 10
9	IndexedVar	variable: 11 indices: 12
10	Operation	operator: 13 operands: 14
11	Variable
12	ExprTuple	15, 16
13	Literal
14	ExprTuple	17, 18
15	Variable
16	Variable
17	Literal
18	Variable