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Expression of type Lambda

from the theory of proveit.numbers.numerals.decimals

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 ExprRange, Lambda, Variable, x
from proveit.logic import Equals
from proveit.numbers import one, three
In [2]:
# build up the expression from sub-expressions
expr = Lambda(x, Equals([ExprRange(Variable("_a", latex_format = r"{_{-}a}"), x, one, three)], [x, x, 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())
x \mapsto \left(\left(x, x, ..0 \times.., x\right) = \left(x, x, x\right)\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Lambdaparameter: 12
body: 2
1ExprTuple12
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple5, 6
5ExprTuple7
6ExprTuple12, 12, 12
7ExprRangelambda_map: 8
start_index: 9
end_index: 10
8Lambdaparameter: 13
body: 12
9Literal
10Literal
11ExprTuple13
12Variable
13Variable