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