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.numbers.addition.add_nat_pos_closure_bin
2	instantiation	5, 17, 4	⊢
	: , : , :
3	instantiation	5, 22, 6	⊢
	: , : , :
4	instantiation	8, 9, 7, 11	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_left_side_into
6	instantiation	8, 9, 10, 11	⊢
	: , : , :
7	instantiation	27, 14, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
9	instantiation	27, 14, 13	⊢
	: , : , :
10	instantiation	27, 14, 15	⊢
	: , : , :
11	instantiation	16	⊢
	:
12	instantiation	20, 21, 17	⊢
	: , : , :
13	instantiation	27, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	20, 21, 22	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_reflexivity
17	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	27, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	25, 26	⊢
	: , :
22	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	27, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1