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	30	⊢
2	instantiation	30, 4, 5	, , , ⊢
	: , : , :
3	instantiation	6, 38, 37, 36, 7, 39, 8, 9, 10	, , , ⊢
	: , : , : , : , : , :
4	instantiation	30, 11, 12	, , ⊢
	: , : , :
5	instantiation	16, 13	, , ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.disassociation
7	instantiation	47	⊢
	: , :
8	instantiation	15, 24, 44	, ⊢
	: , :
9	instantiation	15, 23, 14	, , ⊢
	: , :
10	instantiation	15, 23, 43	, ⊢
	: , :
11	instantiation	16, 17	, ⊢
	: , : , :
12	instantiation	18, 24, 23, 55	, , ⊢
	: , : , :
13	instantiation	19, 33, 50, 21, 53, 20	, , ⊢
	: , : , : , :
14	instantiation	58, 49, 21	, ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
16	axiom		⊢
	proveit.logic.equality.substitution
17	instantiation	22, 23, 24	, ⊢
	: , :
18	theorem		⊢
	proveit.numbers.exponentiation.pos_power_of_product
19	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
20	instantiation	25, 26	, ⊢
	: , :
21	instantiation	27, 50, 48	, ⊢
	: , :
22	theorem		⊢
	proveit.numbers.multiplication.commutation
23	instantiation	58, 49, 28	⊢
	: , : , :
24	instantiation	58, 49, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.equality.equals_reversal
26	instantiation	30, 31, 32	, ⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
28	instantiation	58, 54, 33	⊢
	: , : , :
29	instantiation	58, 56, 34	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	35, 36, 37, 38, 39, 40, 44, 41, 43	, ⊢
	: , : , : , : , : , :
32	instantiation	42, 43, 44, 45	, ⊢
	: , : , :
33	assumption		⊢
34	instantiation	58, 59, 46	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.disassociation
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
40	instantiation	47	⊢
	: , :
41	instantiation	58, 49, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
43	instantiation	58, 49, 53	⊢
	: , : , :
44	instantiation	58, 49, 50	⊢
	: , : , :
45	instantiation	51	⊢
	:
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	instantiation	52, 53	⊢
	:
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	58, 54, 55	⊢
	: , : , :
51	axiom		⊢
	proveit.logic.equality.equals_reflexivity
52	theorem		⊢
	proveit.numbers.negation.real_closure
53	instantiation	58, 56, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
55	assumption		⊢
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	58, 59, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
60	assumption		⊢