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.multiplication.elim_one_left
2	instantiation	3, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
4	instantiation	25, 12, 6	⊢
	: , : , :
5	instantiation	7, 8, 9	⊢
	: , :
6	instantiation	25, 21, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
8	instantiation	25, 12, 11	⊢
	: , : , :
9	instantiation	25, 12, 13	⊢
	: , : , :
10	instantiation	25, 23, 14	⊢
	: , : , :
11	instantiation	15, 16, 19, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	18, 19	⊢
	:
14	instantiation	25, 26, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
17	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
18	theorem		⊢
	proveit.numbers.negation.real_closure
19	instantiation	25, 21, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	25, 23, 24	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1