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, 4, 5, 6, 7, 8	, , , ⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.leftward_commutation
2	reference	40	⊢
3	reference	37	⊢
4	instantiation	9	⊢
	: , :
5	instantiation	38, 25, 10	⊢
	: , : , :
6	instantiation	38, 25, 11	⊢
	: , : , :
7	instantiation	13, 20, 12	⊢
	: , :
8	instantiation	13, 14, 15	⊢
	: , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10	instantiation	38, 29, 16	⊢
	: , : , :
11	assumption		⊢
12	instantiation	38, 25, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	instantiation	18, 19, 20, 21	⊢
	: , :
15	instantiation	38, 25, 22	⊢
	: , : , :
16	assumption		⊢
17	instantiation	38, 29, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.division.div_complex_closure
19	instantiation	38, 25, 24	⊢
	: , : , :
20	instantiation	38, 25, 26	⊢
	: , : , :
21	instantiation	27, 28	⊢
	:
22	instantiation	38, 29, 30	⊢
	: , : , :
23	assumption		⊢
24	instantiation	38, 32, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	38, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
30	assumption		⊢
31	instantiation	38, 35, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	38, 35, 36	⊢
	: , : , :
34	instantiation	38, 39, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	38, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2