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^	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.division.prod_of_fracs
2	reference	11	⊢
3	instantiation	37, 8, 7	⊢
	: , : , :
4	instantiation	37, 8, 9	⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	12, 21, 13, 14, 15^*	⊢
	: , : , :
7	instantiation	37, 17, 16	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	37, 17, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
11	instantiation	37, 26, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
14	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
15	instantiation	20, 21	⊢
	:
16	instantiation	37, 23, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
18	instantiation	37, 23, 24	⊢
	: , : , :
19	instantiation	37, 32, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
21	instantiation	37, 26, 27	⊢
	: , : , :
22	instantiation	37, 29, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
24	instantiation	37, 29, 30	⊢
	: , : , :
25	instantiation	37, 35, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	37, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
30	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
31	instantiation	37, 38, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	37, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements