Expression of type ExprTuple

from the theory of proveit.core_expr_types.lambda_maps

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 Composition, ExprTuple, Lambda, f, fx, fy, g, x, y
from proveit.logic import Equals

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([f, g], Equals(Composition(Lambda(x, fx)), Lambda(y, fy))))

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(\left(f, g\right) \mapsto \left(\left[\circ\right]\left(x \mapsto f\left(x\right)\right) = \left[y \mapsto f\left(y\right)\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	parameters: 2 body: 3
2	ExprTuple	15, 4
3	Operation	operator: 5 operands: 6
4	Variable
5	Literal
6	ExprTuple	7, 11
7	Operation	operator: 8 operand: 11
8	Literal
9	ExprTuple	11
10	Operation	operator: 15 operand: 14
11	Lambda	parameter: 17 body: 13
12	ExprTuple	14
13	Operation	operator: 15 operand: 17
14	Variable
15	Variable
16	ExprTuple	17
17	Variable