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	theorem		⊢
	proveit.numbers.negation.complex_closure
2	instantiation	3, 4, 5, 6	⊢
	: , :
3	theorem		⊢
	proveit.numbers.division.div_complex_closure
4	instantiation	33, 8, 7	⊢
	: , : , :
5	instantiation	33, 8, 9	⊢
	: , : , :
6	instantiation	10, 15	⊢
	:
7	instantiation	33, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
9	instantiation	13, 14, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
12	instantiation	33, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
14	instantiation	18, 19	⊢
	: , :
15	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
17	instantiation	26, 20, 21	⊢
	: , :
18	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
20	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
21	instantiation	33, 22, 23	⊢
	: , : , :
22	instantiation	24, 25, 30	⊢
	: , :
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
25	instantiation	26, 27, 28	⊢
	: , :
26	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
27	instantiation	29, 30	⊢
	:
28	instantiation	33, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	33, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos