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Mirrors > Home > NFE Home > Th. List > nfvd | GIF version |
Description: nfv 1619 with antecedent. Useful in proofs of deduction versions of bound-variable hypothesis builders such as nfimd 1808. (Contributed by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
nfvd | ⊢ (φ → Ⅎxψ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1619 | . 2 ⊢ Ⅎxψ | |
2 | 1 | a1i 10 | 1 ⊢ (φ → Ⅎxψ) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 Ⅎwnf 1544 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-17 1616 |
This theorem depends on definitions: df-bi 177 df-nf 1545 |
This theorem is referenced by: cbvald 2008 cbvaldva 2010 cbvexdva 2011 sbiedv 2037 vtocld 2907 sbcied 3082 nfunid 3898 iota2d 4366 iota2 4367 |
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