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