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Mirrors > Home > NFE Home > Th. List > equs5 | Unicode version |
Description: Lemma used in proofs of substitution properties. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
equs5 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfnae 1956 |
. 2
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2 | nfa1 1788 |
. 2
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3 | ax11o 1994 |
. . 3
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4 | 3 | imp3a 420 |
. 2
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5 | 1, 2, 4 | exlimd 1806 |
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 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 |
This theorem is referenced by: sb3 2052 sb4 2053 |
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