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Expression of type Lambda

from the theory of proveit.numbers.divisibility

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 Lambda, x
from proveit.core_expr_types import a_1_to_i
In [2]:
# build up the expression from sub-expressions
expr = Lambda([a_1_to_i], x)
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(a_{1}, a_{2}, \ldots, a_{i}\right) \mapsto x
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Lambdaparameters: 1
body: 2
1ExprTuple3
2Variable
3ExprRangelambda_map: 4
start_index: 5
end_index: 6
4Lambdaparameter: 10
body: 7
5Literal
6Variable
7IndexedVarvariable: 8
index: 10
8Variable
9ExprTuple10
10Variable