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	reference	20	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
3	instantiation	20, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
5	instantiation	14, 6, 16	⊢
	: , :
6	instantiation	20, 19, 7	⊢
	: , : , :
7	instantiation	8, 9, 10	⊢
	: , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
10	instantiation	11, 12, 13	⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
12	instantiation	14, 15, 16	⊢
	: , :
13	instantiation	17, 18	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
15	instantiation	20, 19, 24	⊢
	: , : , :
16	instantiation	20, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
18	instantiation	23, 24	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
20	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
21	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
22	instantiation	25, 26	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
24	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
25	theorem		⊢
	proveit.numbers.negation.int_neg_closure
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1