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	, , ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.complex_power_of_complex_power
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
3	instantiation	5, 6, 7	, ⊢
	: , :
4	instantiation	52, 42, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
6	instantiation	11, 9, 10	⊢
	: , : , :
7	instantiation	11, 12, 13	⊢
	: , : , :
8	instantiation	52, 46, 14	⊢
	: , : , :
9	instantiation	35, 26, 15	⊢
	: , :
10	instantiation	19, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.sub_right_side_into
12	instantiation	35, 26, 18	⊢
	: , :
13	instantiation	19, 20, 21	⊢
	: , : , :
14	instantiation	52, 50, 22	⊢
	: , : , :
15	instantiation	35, 32, 24	⊢
	: , :
16	instantiation	27, 25, 54, 28, 23, 29, 26, 32, 24	⊢
	: , : , : , : , : , :
17	instantiation	27, 28, 54, 29, 30, 23, 36, 37, 32, 24	⊢
	: , : , : , : , : , :
18	instantiation	35, 32, 33	⊢
	: , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	27, 25, 54, 28, 31, 29, 26, 32, 33	⊢
	: , : , : , : , : , :
21	instantiation	27, 28, 54, 29, 30, 31, 36, 37, 32, 33	⊢
	: , : , : , : , : , :
22	assumption		⊢
23	instantiation	38	⊢
	: , :
24	instantiation	52, 42, 34	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
26	instantiation	35, 36, 37	⊢
	: , :
27	theorem		⊢
	proveit.numbers.multiplication.disassociation
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
30	instantiation	38	⊢
	: , :
31	instantiation	38	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
33	instantiation	52, 42, 39	⊢
	: , : , :
34	instantiation	52, 46, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
36	instantiation	52, 42, 41	⊢
	: , : , :
37	instantiation	52, 42, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	instantiation	52, 48, 44	⊢
	: , : , :
40	instantiation	52, 50, 45	⊢
	: , : , :
41	instantiation	52, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	52, 48, 49	⊢
	: , : , :
44	assumption		⊢
45	assumption		⊢
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	52, 50, 51	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2