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