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Expression of type Lambda

from the theory of proveit.physics.quantum.algebra

In [1]:
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, ExprRange, Function, IndexedVar, Lambda, Q, Variable, c, f, j
from proveit.numbers import one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, j)]
expr = Lambda(sub_expr2, Conditional(Function(f, sub_expr2), Function(Q, sub_expr2)))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(c_{1}, c_{2}, \ldots, c_{j}\right) \mapsto \left\{f\left(c_{1}, c_{2}, \ldots, c_{j}\right) \textrm{ if } Q\left(c_{1}, c_{2}, \ldots, c_{j}\right)\right..
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Lambdaparameters: 6
body: 1
1Conditionalvalue: 2
condition: 3
2Operationoperator: 4
operands: 6
3Operationoperator: 5
operands: 6
4Variable
5Variable
6ExprTuple7
7ExprRangelambda_map: 8
start_index: 9
end_index: 10
8Lambdaparameter: 14
body: 11
9Literal
10Variable
11IndexedVarvariable: 12
index: 14
12Variable
13ExprTuple14
14Variable