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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
2	instantiation	3, 18, 4, 15, 5, 6^, 7^	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
5	instantiation	8, 9	⊢
	: , :
6	instantiation	10, 13	⊢
	:
7	instantiation	11, 12, 13	⊢
	: , :
8	theorem		⊢
	proveit.numbers.ordering.relax_less
9	instantiation	14, 19	⊢
	:
10	theorem		⊢
	proveit.numbers.addition.elim_zero_left
11	theorem		⊢
	proveit.numbers.addition.commutation
12	instantiation	16, 17, 15	⊢
	: , : , :
13	instantiation	16, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
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._s_in_nat_pos
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	23, 24	⊢
	: , :
22	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
23	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements