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Mirrors > Home > HOLE Home > Th. List > cl | Unicode version |
Description: Evaluate a lambda expression. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
cl.1 |
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cl.2 |
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cl.3 |
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Ref | Expression |
---|---|
cl |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cl.1 |
. 2
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2 | cl.2 |
. 2
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3 | cl.3 |
. 2
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4 | 1, 3 | eqtypi 78 |
. . 3
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5 | wv 64 |
. . 3
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6 | 4, 5 | ax-17 105 |
. 2
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7 | 2, 5 | ax-17 105 |
. 2
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8 | 1, 2, 3, 6, 7 | clf 115 |
1
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Colors of variables: type var term |
Syntax hints: tv 1
kc 5 ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-syl 15 ax-jca 17 ax-simpl 20 ax-simpr 21 ax-id 24 ax-trud 26 ax-cb1 29 ax-cb2 30 ax-wctl 31 ax-wctr 32 ax-weq 40 ax-refl 42 ax-eqmp 45 ax-wc 49 ax-ceq 51 ax-wv 63 ax-wl 65 ax-beta 67 ax-distrc 68 ax-leq 69 ax-wov 71 ax-eqtypi 77 ax-eqtypri 80 ax-hbl1 103 ax-17 105 ax-inst 113 |
This theorem depends on definitions: df-ov 73 |
This theorem is referenced by: ovl 117 alval 142 exval 143 euval 144 notval 145 cla4v 152 dfan2 154 cla4ev 169 exmid 199 axpow 221 |
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