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Expression of type Lambda

from the theory of proveit.linear_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, IndexedVar, Lambda, i, x, y
from proveit.linear_algebra import TensorProd
from proveit.logic import InSet
from proveit.numbers import Interval, nine, one
In [2]:
# build up the expression from sub-expressions
expr = Lambda(i, Conditional(TensorProd(x, IndexedVar(y, i)), InSet(i, Interval(one, nine))))
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())
i \mapsto \left\{x {\otimes} y_{i} \textrm{ if } i \in \{1~\ldotp \ldotp~9\}\right..
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Lambdaparameter: 15
body: 1
1Conditionalvalue: 2
condition: 3
2Operationoperator: 4
operands: 5
3Operationoperator: 6
operands: 7
4Literal
5ExprTuple8, 9
6Literal
7ExprTuple15, 10
8Variable
9IndexedVarvariable: 11
index: 15
10Operationoperator: 13
operands: 14
11Variable
12ExprTuple15
13Literal
14ExprTuple16, 17
15Variable
16Literal
17Literal