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