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Theorem jm2.27dlem1 35313
 Description: Lemma for rmydioph 35318. Subsitution of a tuple restriction into a projection that doesn't care. (Contributed by Stefan O'Rear, 11-Oct-2014.)
Hypothesis
Ref Expression
jm2.27dlem1.1
Assertion
Ref Expression
jm2.27dlem1
Distinct variable groups:   ,,   ,,

Proof of Theorem jm2.27dlem1
StepHypRef Expression
1 fveq1 5848 . 2
2 jm2.27dlem1.1 . . 3
3 fvres 5863 . . 3
42, 3ax-mp 5 . 2
51, 4syl6eq 2459 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wceq 1405   wcel 1842   cres 4825  cfv 5569  (class class class)co 6278  c1 9523  cfz 11726 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1639  ax-4 1652  ax-5 1725  ax-6 1771  ax-7 1814  ax-9 1846  ax-10 1861  ax-11 1866  ax-12 1878  ax-13 2026  ax-ext 2380  ax-sep 4517  ax-nul 4525  ax-pr 4630 This theorem depends on definitions:  df-bi 185  df-or 368  df-an 369  df-3an 976  df-tru 1408  df-ex 1634  df-nf 1638  df-sb 1764  df-clab 2388  df-cleq 2394  df-clel 2397  df-nfc 2552  df-ne 2600  df-ral 2759  df-rex 2760  df-rab 2763  df-v 3061  df-dif 3417  df-un 3419  df-in 3421  df-ss 3428  df-nul 3739  df-if 3886  df-sn 3973  df-pr 3975  df-op 3979  df-uni 4192  df-br 4396  df-opab 4454  df-xp 4829  df-res 4835  df-iota 5533  df-fv 5577 This theorem is referenced by:  rmydioph  35318  rmxdioph  35320  expdiophlem2  35326
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