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.logic.equality.equals_reversal
2	instantiation	4, 5, 6, 31, 7, 8, 9, 10, 15, 11^*	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
4	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	12	⊢
	: , :
9	instantiation	29, 17, 22	⊢
	: , : , :
10	instantiation	29, 17, 13	⊢
	: , : , :
11	instantiation	14, 15	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	29, 25, 16	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
15	instantiation	29, 17, 18	⊢
	: , : , :
16	instantiation	29, 27, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	20, 21, 22, 23	⊢
	: , : , :
19	instantiation	29, 30, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
22	instantiation	29, 25, 26	⊢
	: , : , :
23	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	29, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements