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.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	29	⊢
4	reference	36	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	42, 13, 11	⊢
	: , : , :
8	instantiation	42, 13, 12	⊢
	: , : , :
9	instantiation	42, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	42, 21, 15	⊢
	: , : , :
12	instantiation	16, 17	⊢
	:
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	42, 21, 18	⊢
	: , : , :
15	instantiation	42, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.real_closure
17	instantiation	42, 21, 22	⊢
	: , : , :
18	instantiation	42, 27, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
20	instantiation	24, 25, 26	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	42, 27, 28	⊢
	: , : , :
23	instantiation	42, 35, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
25	instantiation	42, 30, 31	⊢
	: , : , :
26	instantiation	32, 33, 34	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	42, 35, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
31	instantiation	42, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
33	instantiation	42, 43, 39	⊢
	: , : , :
34	instantiation	40, 41	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
40	theorem		⊢
	proveit.numbers.negation.int_closure
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos