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, 9, 5, 38, 11, 6, 13, 17, 7^*	⊢
	: , : , : , : , : , :
3	instantiation	8, 9, 10, 38, 11, 12, 13, 14^*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	15	⊢
	: , : , :
7	instantiation	16, 17	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.association
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	18	⊢
	: , :
13	instantiation	36, 23, 19	⊢
	: , : , :
14	instantiation	20, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
17	instantiation	36, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	36, 25, 26	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	29, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	36, 32, 33	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.substitution
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
29	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
30	instantiation	34, 35	⊢
	: , :
31	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	36, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements