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	⊢
	: , : , :
1	reference	34	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	4, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
5	instantiation	34, 8, 7	⊢
	: , : , :
6	instantiation	34, 8, 9	⊢
	: , : , :
7	instantiation	34, 10, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
9	instantiation	34, 12, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
11	instantiation	34, 14, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
13	instantiation	16, 17, 18	⊢
	: , :
14	instantiation	19, 20, 31	⊢
	: , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
17	instantiation	34, 21, 22	⊢
	: , : , :
18	instantiation	30, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
20	instantiation	24, 25, 26	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22	instantiation	34, 27, 28	⊢
	: , : , :
23	instantiation	34, 35, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	instantiation	30, 31	⊢
	:
26	instantiation	34, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
30	theorem		⊢
	proveit.numbers.negation.int_closure
31	instantiation	34, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
36	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos