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.numbers.addition.subtraction.add_cancel_triple_23
2	instantiation	31, 6, 5	⊢
	: , : , :
3	instantiation	31, 6, 7	⊢
	: , : , :
4	instantiation	8	⊢
	:
5	instantiation	31, 10, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	instantiation	31, 10, 11	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	instantiation	31, 12, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
11	instantiation	31, 14, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
13	instantiation	31, 16, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
15	instantiation	18, 19, 20	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
18	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
19	instantiation	31, 21, 22	⊢
	: , : , :
20	instantiation	23, 24, 25	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22	instantiation	31, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
24	instantiation	31, 32, 28	⊢
	: , : , :
25	instantiation	29, 30	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
33	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos