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Mirrors > Home > MPE Home > Th. List > nfcriOLDOLDOLD | Structured version Visualization version GIF version |
Description: Obsolete version of nfcri 2904 as of 23-May-2024. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
nfcriOLD.1 | ⊢ Ⅎ𝑥𝐴 |
Ref | Expression |
---|---|
nfcriOLDOLDOLD | ⊢ Ⅎ𝑥 𝑦 ∈ 𝐴 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcriOLD.1 | . . 3 ⊢ Ⅎ𝑥𝐴 | |
2 | 1 | nfcrii 2909 | . 2 ⊢ (𝑦 ∈ 𝐴 → ∀𝑥 𝑦 ∈ 𝐴) |
3 | 2 | nf5i 2148 | 1 ⊢ Ⅎ𝑥 𝑦 ∈ 𝐴 |
Colors of variables: wff setvar class |
Syntax hints: Ⅎwnf 1786 ∈ wcel 2112 Ⅎwnfc 2897 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1912 ax-6 1971 ax-7 2016 ax-8 2114 ax-10 2143 ax-12 2176 |
This theorem depends on definitions: df-bi 210 df-an 401 df-ex 1783 df-nf 1787 df-clel 2831 df-nfc 2899 |
This theorem is referenced by: (None) |
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