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Mirrors > Home > NFE Home > Th. List > spnfwOLD | Unicode version |
Description: Weak version of sp 1747. Uses only Tarski's FOL axiom schemes. Obsolete version of spnfw 1670 as of 13-Aug-2017. (Contributed by NM, 1-Aug-2017.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
spnfw.3 |
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Ref | Expression |
---|---|
spnfwOLD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spnfw.3 |
. 2
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2 | ax-17 1616 |
. 2
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3 | ax-17 1616 |
. 2
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4 | biidd 228 |
. 2
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5 | 1, 2, 3, 4 | spfw 1691 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |