Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > nfvd | GIF version |
Description: nfv 1508 with antecedent. Useful in proofs of deduction versions of bound-variable hypothesis builders such as nfimd 1564. (Contributed by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
nfvd | ⊢ (𝜑 → Ⅎ𝑥𝜓) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1508 | . 2 ⊢ Ⅎ𝑥𝜓 | |
2 | 1 | a1i 9 | 1 ⊢ (𝜑 → Ⅎ𝑥𝜓) |
Colors of variables: wff set class |
Syntax hints: → wi 4 Ⅎwnf 1436 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-gen 1425 ax-17 1506 |
This theorem depends on definitions: df-bi 116 df-nf 1437 |
This theorem is referenced by: sbiedv 1762 cbvaldva 1900 cbvexdva 1901 vtocld 2738 sbcied 2945 nfunid 3743 peano2 4509 iota2d 5113 iota2 5114 riota5f 5754 mpoxopoveq 6137 bdsepnft 13085 strcollnft 13182 |
Copyright terms: Public domain | W3C validator |