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	18, 3, 4	⊢
	: , : , :
3	instantiation	26, 5	⊢
	: , :
4	instantiation	6, 7	⊢
	:
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.int_within_complex
6	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
7	instantiation	8, 9, 10	⊢
	: , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	instantiation	11, 12, 13	⊢
	: , :
10	instantiation	14, 15, 16, 17	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
12	instantiation	18, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
14	theorem		⊢
	proveit.numbers.division.div_real_closure
15	instantiation	32, 22, 21	⊢
	: , : , :
16	instantiation	32, 22, 23	⊢
	: , : , :
17	instantiation	24, 25	⊢
	:
18	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
19	instantiation	26, 27	⊢
	: , :
20	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
21	instantiation	32, 29, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	32, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
28	instantiation	32, 33, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	32, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2