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Mirrors > Home > NFE Home > Th. List > hbth | Unicode version |
Description: No variable is
(effectively) free in a theorem.
This and later "hypothesis-building" lemmas, with labels
starting
"hb...", allow us to construct proofs of formulas of the form
|
Ref | Expression |
---|---|
hbth.1 |
![]() ![]() |
Ref | Expression |
---|---|
hbth |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbth.1 |
. . 3
![]() ![]() | |
2 | 1 | ax-gen 1546 |
. 2
![]() ![]() ![]() ![]() |
3 | 2 | a1i 10 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-gen 1546 |
This theorem is referenced by: nfth 1553 spfalw 1672 spimehOLD 1821 |
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