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Mirrors > Home > MPE Home > Th. List > nfvd | Structured version Visualization version GIF version |
Description: nfv 1995 with antecedent. Useful in proofs of deduction versions of bound-variable hypothesis builders such as nfimd 1973. (Contributed by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
nfvd | ⊢ (𝜑 → Ⅎ𝑥𝜓) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1995 | . 2 ⊢ Ⅎ𝑥𝜓 | |
2 | 1 | a1i 11 | 1 ⊢ (𝜑 → Ⅎ𝑥𝜓) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 Ⅎwnf 1856 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-5 1991 |
This theorem depends on definitions: df-bi 197 df-ex 1853 df-nf 1858 |
This theorem is referenced by: cbvald 2436 sbiedv 2557 vtocld 3408 sbcied 3624 nfunid 4582 iota2d 6018 iota2 6019 riota5f 6782 opiota 7382 mpt2xopoveq 7501 axrepndlem1 9620 axunndlem1 9623 fproddivf 14924 xrofsup 29873 bj-cbvaldvav 33077 bj-cbvexdvav 33078 wl-mo2t 33691 wl-sb8eut 33693 riotasv2d 34765 cdleme42b 36288 dihvalcqpre 37045 mapdheq 37538 hdmap1eq 37611 hdmapval2lem 37641 |
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