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, Function, Lambda, f, fx, gy, gz, x, y, z

# build up the expression from sub-expressions
expr = ExprTuple(Composition(Lambda(x, fx), Lambda(y, gy)), Lambda(z, Function(f, [gz])))

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[x \mapsto f\left(x\right)\right] \circ \left[y \mapsto g\left(y\right)\right], z \mapsto f\left(g\left(z\right)\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

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