Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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 ExprTuple, Lambda, f
from proveit.core_expr_types import Len, f_1_to_i, range_1_to_i
from proveit.logic import Equals

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(f, Equals(Len(operands = [f_1_to_i]), Len(operands = [range_1_to_i]))))

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())

\left(f \mapsto \left(|\left(f\left(1\right), f\left(2\right), \ldots, f\left(i\right)\right)| = |\left(1, 2, \ldots, i\right)|\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 18 body: 3
2	ExprTuple	18
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 9 operands: 8
7	Operation	operator: 9 operands: 10
8	ExprTuple	11
9	Literal
10	ExprTuple	12
11	ExprRange	lambda_map: 13 start_index: 15 end_index: 16
12	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
13	Lambda	parameter: 20 body: 17
14	Lambda	parameter: 20 body: 20
15	Literal
16	Variable
17	Operation	operator: 18 operand: 20
18	Variable
19	ExprTuple	20
20	Variable