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	⊢
	: , : , :
1	reference	14	⊢
2	instantiation	14, 3	⊢
	: , : , :
3	instantiation	14, 4	⊢
	: , : , :
4	instantiation	5, 29, 6, 7, 8^*	⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_as_mult
6	instantiation	48, 39, 9	⊢
	: , : , :
7	instantiation	26, 13	⊢
	:
8	instantiation	10, 11, 12	⊢
	: , : , :
9	instantiation	44, 45, 13	⊢
	: , : , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	14, 15	⊢
	: , : , :
12	instantiation	16, 17	⊢
	:
13	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
14	axiom		⊢
	proveit.logic.equality.substitution
15	instantiation	18, 23, 40, 19, 20, 21^*	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
17	instantiation	22, 23, 24	⊢
	: , :
18	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
19	instantiation	25, 33	⊢
	:
20	instantiation	26, 27	⊢
	:
21	instantiation	28, 35, 29, 30^*	⊢
	: , :
22	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
23	instantiation	48, 39, 31	⊢
	: , : , :
24	instantiation	32, 35	⊢
	:
25	theorem		⊢
	proveit.numbers.negation.real_closure
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
29	instantiation	48, 39, 33	⊢
	: , : , :
30	instantiation	34, 35	⊢
	:
31	instantiation	48, 37, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	instantiation	48, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
35	instantiation	48, 39, 40	⊢
	: , : , :
36	instantiation	48, 42, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	48, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	44, 45, 46	⊢
	: , : , :
41	instantiation	48, 49, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	48, 49, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
45	instantiation	51, 52	⊢
	: , :
46	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
51	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements