Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	, , , , , ⊢
	: , : , :
1	reference	4	⊢
2	instantiation	4, 5, 6	, , , , , ⊢
	: , : , :
3	instantiation	7, 14, 16, 8, 17, 18, 28, 34, 19, 21	, , , , , ⊢
	: , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	13, 15, 9, 10, 11, 12, 17, 19, 20, 21, 18	, , , , , ⊢
	: , : , : , : , : , : , :
6	instantiation	13, 14, 15, 16, 17, 18, 19, 20, 21	, , , , , ⊢
	: , : , : , : , : , : , :
7	theorem		⊢
	proveit.numbers.multiplication.distribute_through_subtract
8	instantiation	23	⊢
	: , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	22	⊢
	: , : , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	instantiation	23	⊢
	: , :
17	instantiation	36, 25, 24	⊢
	: , : , :
18	assumption		⊢
19	instantiation	36, 25, 26	⊢
	: , : , :
20	instantiation	27, 28, 29	, ⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	36, 31, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	36, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
28	assumption		⊢
29	instantiation	33, 34	⊢
	:
30	instantiation	36, 37, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	36, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.complex_closure
34	assumption		⊢
35	assumption		⊢
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	assumption		⊢