Expression of type Lambda

from the theory of proveit.numbers.multiplication

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 IndexedVar, Lambda, Variable, b
from proveit.core_expr_types import a_1_to_i, c_1_to_k
from proveit.numbers import Mult

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
expr = Lambda(sub_expr1, Mult(a_1_to_i, IndexedVar(b, sub_expr1), c_1_to_k))

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 \left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot b_{{_{-}b}}\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{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: 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5, 6
4	ExprRange	lambda_map: 7 start_index: 12 end_index: 8
5	IndexedVar	variable: 9 index: 15
6	ExprRange	lambda_map: 11 start_index: 12 end_index: 13
7	Lambda	parameter: 20 body: 14
8	Variable
9	Variable
10	ExprTuple	15
11	Lambda	parameter: 20 body: 16
12	Literal
13	Variable
14	IndexedVar	variable: 17 index: 20
15	Variable
16	IndexedVar	variable: 18 index: 20
17	Variable
18	Variable
19	ExprTuple	20
20	Variable