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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	6, 8, 4, 5, 11, 12	⊢
	: , : , : , : , : , : , :
3	instantiation	6, 7, 8, 9, 10, 11, 12	⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
5	instantiation	13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.leftward_commutation
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	instantiation	14	⊢
	: , :
10	instantiation	14	⊢
	: , :
11	instantiation	16, 17, 15	⊢
	: , : , :
12	instantiation	16, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	20, 21, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	20, 21, 22	⊢
	: , : , :
19	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	23, 24	⊢
	: , :
22	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
23	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real