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, 9	, , , ⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.leftward_commutation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	reference	40	⊢
4	instantiation	10	⊢
	: , : , :
5	reference	18	⊢
6	instantiation	11, 12	⊢
	:
7	instantiation	41, 28, 13	⊢
	: , : , :
8	instantiation	41, 28, 14	⊢
	: , : , :
9	instantiation	16, 24, 15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
11	theorem		⊢
	proveit.numbers.negation.complex_closure
12	instantiation	16, 17, 18	⊢
	: , :
13	instantiation	41, 32, 19	⊢
	: , : , :
14	instantiation	41, 32, 20	⊢
	: , : , :
15	instantiation	41, 28, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
17	instantiation	22, 23, 24, 25	⊢
	: , :
18	instantiation	41, 28, 26	⊢
	: , : , :
19	assumption		⊢
20	assumption		⊢
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.division.div_complex_closure
23	instantiation	41, 28, 27	⊢
	: , : , :
24	instantiation	41, 28, 29	⊢
	: , : , :
25	instantiation	30, 31	⊢
	:
26	instantiation	41, 32, 33	⊢
	: , : , :
27	instantiation	41, 35, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	41, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
33	assumption		⊢
34	instantiation	41, 38, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	41, 38, 39	⊢
	: , : , :
37	instantiation	41, 42, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	41, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2