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.addition.subtraction.pos_difference
2	instantiation	3, 24, 4, 5, 6, 7^*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
5	instantiation	39, 27, 8	⊢
	: , : , :
6	instantiation	9, 10, 11	⊢
	: , : , :
7	instantiation	12, 13, 14	⊢
	: , : , :
8	instantiation	39, 32, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
10	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
11	instantiation	16, 33, 26, 22	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	17, 19	⊢
	:
14	instantiation	18, 19, 20	⊢
	: , :
15	instantiation	39, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
17	theorem		⊢
	proveit.numbers.addition.elim_zero_right
18	theorem		⊢
	proveit.numbers.addition.commutation
19	instantiation	39, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
21	instantiation	25, 33, 26	⊢
	: , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	39, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
26	instantiation	29, 30, 31	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	39, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
30	instantiation	39, 34, 35	⊢
	: , : , :
31	instantiation	36, 37	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	39, 40, 38	⊢
	: , : , :
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
36	theorem		⊢
	proveit.numbers.negation.int_closure
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements