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, 4	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 11, 8	⊢
	: , :
3	instantiation	6, 7, 8	⊢
	: , :
4	instantiation	9	⊢
	:
5	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
6	theorem		⊢
	proveit.numbers.addition.commutation
7	instantiation	10, 11	⊢
	:
8	instantiation	35, 13, 12	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_reflexivity
10	theorem		⊢
	proveit.numbers.negation.complex_closure
11	instantiation	35, 13, 14	⊢
	: , : , :
12	instantiation	35, 21, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	16, 17, 18, 19	⊢
	: , : , :
15	instantiation	35, 25, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
18	instantiation	35, 21, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
20	instantiation	35, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	35, 25, 30	⊢
	: , : , :
23	instantiation	26, 27, 32	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	instantiation	28, 29, 30	⊢
	: , :
28	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
29	instantiation	31, 32	⊢
	:
30	instantiation	35, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.int_closure
32	instantiation	35, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
37	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos