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	11, 13, 5, 6, 16, 17	⊢
	: , : , : , : , : , : , :
3	instantiation	11, 7, 12, 8, 9, 10, 16, 17	⊢
	: , : , : , : , : , : , :
4	instantiation	11, 12, 13, 14, 15, 16, 17	⊢
	: , : , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
6	instantiation	18	⊢
	: , : , : , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	instantiation	19	⊢
	: , :
9	instantiation	19	⊢
	: , :
10	instantiation	20	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.leftward_commutation
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	instantiation	20	⊢
	: , : , :
15	instantiation	20	⊢
	: , : , :
16	instantiation	22, 23, 21	⊢
	: , : , :
17	instantiation	22, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	instantiation	26, 27, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	26, 27, 28	⊢
	: , : , :
25	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	29, 30	⊢
	: , :
28	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
29	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real