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.real_closure
2	instantiation	3, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
4	instantiation	33, 7, 6	⊢
	: , : , :
5	instantiation	33, 7, 8	⊢
	: , : , :
6	instantiation	33, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
8	instantiation	33, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
10	instantiation	33, 13, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
12	instantiation	15, 16, 17	⊢
	: , :
13	instantiation	18, 19, 30	⊢
	: , :
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
16	instantiation	33, 20, 21	⊢
	: , : , :
17	instantiation	29, 22	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
19	instantiation	23, 24, 25	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
21	instantiation	33, 26, 27	⊢
	: , : , :
22	instantiation	33, 34, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
24	instantiation	29, 30	⊢
	:
25	instantiation	33, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
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