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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4	⊢
	:
3	theorem		⊢
	proveit.numbers.division.frac_one_denom
4	instantiation	27, 5, 6	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
6	instantiation	27, 7, 8	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
8	instantiation	27, 9, 10	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
10	instantiation	27, 11, 12	⊢
	: , : , :
11	instantiation	13, 14, 15	⊢
	: , :
12	assumption		⊢
13	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
14	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
15	instantiation	16, 17, 18	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
17	instantiation	19, 20, 21	⊢
	: , :
18	instantiation	22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
20	instantiation	27, 28, 24	⊢
	: , : , :
21	instantiation	27, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.int_closure
23	instantiation	27, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
26	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
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