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Proofgold Proposition

∀ x0 x1 . x1x0∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x0∀ x13 . x13x0∀ x14 . x14x0∀ x15 . x15x0∀ x16 . x16x0∀ x17 . x17x0∀ x18 . x18x0∀ x19 . x19x0∀ x20 . x20x0∀ x21 . x21x0∀ x22 . x22x0∀ x23 . x23x0∀ x24 . x24x0∀ x25 . x25x0∀ x26 . x26x0∀ x27 . x27x0∀ x28 . x28x0∀ x29 . x29x0∀ x30 . x30x0(x1 = x2∀ x31 : ο . x31)(x1 = x3∀ x31 : ο . x31)(x2 = x3∀ x31 : ο . x31)(x1 = x4∀ x31 : ο . x31)(x2 = x4∀ x31 : ο . x31)(x3 = x4∀ x31 : ο . x31)(x1 = x5∀ x31 : ο . x31)(x2 = x5∀ x31 : ο . x31)(x3 = x5∀ x31 : ο . x31)(x4 = x5∀ x31 : ο . x31)(x1 = x6∀ x31 : ο . x31)(x2 = x6∀ x31 : ο . x31)(x3 = x6∀ x31 : ο . x31)(x4 = x6∀ x31 : ο . x31)(x5 = x6∀ x31 : ο . x31)(x1 = x7∀ x31 : ο . x31)(x2 = x7∀ x31 : ο . x31)(x3 = x7∀ x31 : ο . x31)(x4 = x7∀ x31 : ο . x31)(x5 = x7∀ x31 : ο . x31)(x6 = x7∀ x31 : ο . x31)(x1 = x8∀ x31 : ο . x31)(x2 = x8∀ x31 : ο . x31)(x3 = x8∀ x31 : ο . x31)(x4 = x8∀ x31 : ο . x31)(x5 = x8∀ x31 : ο . x31)(x6 = x8∀ x31 : ο . x31)(x7 = x8∀ x31 : ο . x31)(x1 = x9∀ x31 : ο . x31)(x2 = x9∀ x31 : ο . x31)(x3 = x9∀ x31 : ο . x31)(x4 = x9∀ x31 : ο . x31)(x5 = x9∀ x31 : ο . x31)(x6 = x9∀ x31 : ο . x31)(x7 = x9∀ x31 : ο . x31)(x8 = x9∀ x31 : ο . x31)(x1 = x10∀ x31 : ο . x31)(x2 = x10∀ x31 : ο . x31)(x3 = x10∀ x31 : ο . x31)(x4 = x10∀ x31 : ο . x31)(x5 = x10∀ x31 : ο . x31)(x6 = x10∀ x31 : ο . x31)(x7 = x10∀ x31 : ο . x31)(x8 = x10∀ x31 : ο . x31)(x9 = x10∀ x31 : ο . x31)(x1 = x11∀ x31 : ο . x31)(x2 = x11∀ x31 : ο . x31)(x3 = x11∀ x31 : ο . x31)(x4 = x11∀ x31 : ο . x31)(x5 = x11∀ x31 : ο . x31)(x6 = x11∀ x31 : ο . x31)(x7 = x11∀ x31 : ο . x31)(x8 = x11∀ x31 : ο . x31)(x9 = x11∀ x31 : ο . x31)(x10 = x11∀ x31 : ο . x31)(x1 = x12∀ x31 : ο . x31)(x2 = x12∀ x31 : ο . x31)(x3 = x12∀ x31 : ο . x31)(x4 = x12∀ x31 : ο . x31)(x5 = x12∀ x31 : ο . x31)(x6 = x12∀ x31 : ο . x31)(x7 = x12∀ x31 : ο . x31)(x8 = x12∀ x31 : ο . x31)(x9 = x12∀ x31 : ο . x31)(x10 = x12∀ x31 : ο . x31)(x11 = x12∀ x31 : ο . x31)(x1 = x13∀ x31 : ο . x31)(x2 = x13∀ x31 : ο . x31)(x3 = x13∀ x31 : ο . x31)(x4 = x13∀ x31 : ο . x31)(x5 = x13∀ x31 : ο . x31)(x6 = x13∀ x31 : ο . x31)(x7 = x13∀ x31 : ο . x31)(x8 = x13∀ x31 : ο . x31)(x9 = x13∀ x31 : ο . x31)(x10 = x13∀ x31 : ο . x31)(x11 = x13∀ x31 : ο . x31)(x12 = x13∀ x31 : ο . x31)(x1 = x14∀ x31 : ο . x31)(x2 = x14∀ x31 : ο . x31)(x3 = x14∀ x31 : ο . x31)(x4 = x14∀ x31 : ο . x31)(x5 = x14∀ x31 : ο . x31)(x6 = x14∀ x31 : ο . x31)(x7 = x14∀ x31 : ο . x31)(x8 = x14∀ x31 : ο . x31)(x9 = x14∀ x31 : ο . x31)(x10 = x14∀ x31 : ο . x31)(x11 = x14∀ x31 : ο . x31)(x12 = x14∀ x31 : ο . x31)(x13 = x14∀ x31 : ο . x31)(x1 = x15∀ x31 : ο . x31)(x2 = x15∀ x31 : ο . x31)(x3 = x15∀ x31 : ο . x31)(x4 = x15∀ x31 : ο . x31)(x5 = x15∀ x31 : ο . x31)(x6 = x15∀ x31 : ο . x31)(x7 = x15∀ x31 : ο . x31)(x8 = x15∀ x31 : ο . x31)(x9 = x15∀ x31 : ο . x31)(x10 = x15∀ x31 : ο . x31)(x11 = x15∀ x31 : ο . x31)(x12 = x15∀ x31 : ο . x31)(x13 = x15∀ x31 : ο . x31)(x14 = x15∀ x31 : ο . x31)(x1 = x16∀ x31 : ο . x31)(x2 = x16∀ x31 : ο . x31)(x3 = x16∀ x31 : ο . x31)(x4 = x16∀ x31 : ο . x31)(x5 = x16∀ x31 : ο . x31)(x6 = x16∀ x31 : ο . x31)(x7 = x16∀ x31 : ο . x31)(x8 = x16∀ x31 : ο . x31)(x9 = x16∀ x31 : ο . x31)(x10 = x16∀ x31 : ο . x31)(x11 = x16∀ x31 : ο . x31)(x12 = x16∀ x31 : ο . x31)(x13 = x16∀ x31 : ο . x31)(x14 = x16∀ x31 : ο . x31)(x15 = x16∀ x31 : ο . x31)(x1 = x17∀ x31 : ο . x31)(x2 = x17∀ x31 : ο . x31)(x3 = x17∀ x31 : ο . x31)(x4 = x17∀ x31 : ο . x31)(x5 = x17∀ x31 : ο . x31)(x6 = x17∀ x31 : ο . x31)(x7 = x17∀ x31 : ο . x31)(x8 = x17∀ x31 : ο . x31)(x9 = x17∀ x31 : ο . x31)(x10 = x17∀ x31 : ο . x31)(x11 = x17∀ x31 : ο . x31)(x12 = x17∀ x31 : ο . x31)(x13 = x17∀ x31 : ο . x31)(x14 = x17∀ x31 : ο . x31)(x15 = x17∀ x31 : ο . x31)(x16 = x17∀ x31 : ο . x31)(x1 = x18∀ x31 : ο . x31)(x2 = x18∀ x31 : ο . x31)(x3 = x18∀ x31 : ο . x31)(x4 = x18∀ x31 : ο . x31)(x5 = x18∀ x31 : ο . x31)(x6 = x18∀ x31 : ο . x31)(x7 = x18∀ x31 : ο . x31)(x8 = x18∀ x31 : ο . x31)(x9 = x18∀ x31 : ο . x31)(x10 = x18∀ x31 : ο . x31)(x11 = x18∀ x31 : ο . x31)(x12 = x18∀ x31 : ο . x31)(x13 = x18∀ x31 : ο . x31)(x14 = x18∀ x31 : ο . x31)(x15 = x18∀ x31 : ο . x31)(x16 = x18∀ x31 : ο . x31)(x17 = x18∀ x31 : ο . x31)(x1 = x19∀ x31 : ο . x31)(x2 = x19∀ x31 : ο . x31)(x3 = x19∀ x31 : ο . x31)(x4 = x19∀ x31 : ο . x31)(x5 = x19∀ x31 : ο . x31)(x6 = x19∀ x31 : ο . x31)(x7 = x19∀ x31 : ο . x31)(x8 = x19∀ x31 : ο . x31)(x9 = x19∀ x31 : ο . x31)(x10 = x19∀ x31 : ο . x31)(x11 = x19∀ x31 : ο . x31)(x12 = x19∀ x31 : ο . x31)(x13 = x19∀ x31 : ο . x31)(x14 = x19∀ x31 : ο . x31)(x15 = x19∀ x31 : ο . x31)(x16 = x19∀ x31 : ο . x31)(x17 = x19∀ x31 : ο . x31)(x18 = x19∀ x31 : ο . x31)(x1 = x20∀ x31 : ο . x31)(x2 = x20∀ x31 : ο . x31)(x3 = x20∀ x31 : ο . x31)(x4 = x20∀ x31 : ο . x31)(x5 = x20∀ x31 : ο . x31)(x6 = x20∀ x31 : ο . x31)(x7 = x20∀ x31 : ο . x31)(x8 = x20∀ x31 : ο . x31)(x9 = x20∀ x31 : ο . x31)(x10 = x20∀ x31 : ο . x31)(x11 = x20∀ x31 : ο . x31)(x12 = x20∀ x31 : ο . x31)(x13 = x20∀ x31 : ο . x31)(x14 = x20∀ x31 : ο . x31)(x15 = x20∀ x31 : ο . x31)(x16 = x20∀ x31 : ο . x31)(x17 = x20∀ x31 : ο . x31)(x18 = x20∀ x31 : ο . x31)(x19 = x20∀ x31 : ο . x31)(x1 = x21∀ x31 : ο . x31)(x2 = x21∀ x31 : ο . x31)(x3 = x21∀ x31 : ο . x31)(x4 = x21∀ x31 : ο . x31)(x5 = x21∀ x31 : ο . x31)(x6 = x21∀ x31 : ο . x31)(x7 = x21∀ x31 : ο . x31)(x8 = x21∀ x31 : ο . x31)(x9 = x21∀ x31 : ο . x31)(x10 = x21∀ x31 : ο . x31)(x11 = x21∀ x31 : ο . x31)(x12 = x21∀ x31 : ο . x31)(x13 = x21∀ x31 : ο . x31)(x14 = x21∀ x31 : ο . x31)(x15 = x21∀ x31 : ο . x31)(x16 = x21∀ x31 : ο . x31)(x17 = x21∀ x31 : ο . x31)(x18 = x21∀ x31 : ο . x31)(x19 = x21∀ x31 : ο . x31)(x20 = x21∀ x31 : ο . x31)(x1 = x22∀ x31 : ο . x31)(x2 = x22∀ x31 : ο . x31)(x3 = x22∀ x31 : ο . x31)(x4 = x22∀ x31 : ο . x31)(x5 = x22∀ x31 : ο . x31)(x6 = x22∀ x31 : ο . x31)(x7 = x22∀ x31 : ο . x31)(x8 = x22∀ x31 : ο . x31)(x9 = x22∀ x31 : ο . x31)(x10 = x22∀ x31 : ο . x31)(x11 = x22∀ x31 : ο . x31)(x12 = x22∀ x31 : ο . x31)(x13 = x22∀ x31 : ο . x31)(x14 = x22∀ x31 : ο . x31)(x15 = x22∀ x31 : ο . x31)(x16 = x22∀ x31 : ο . x31)(x17 = x22∀ x31 : ο . x31)(x18 = x22∀ x31 : ο . x31)(x19 = x22∀ x31 : ο . x31)(x20 = x22∀ x31 : ο . x31)(x21 = x22∀ x31 : ο . x31)(x1 = x23∀ x31 : ο . x31)(x2 = x23∀ x31 : ο . x31)(x3 = x23∀ x31 : ο . x31)(x4 = x23∀ x31 : ο . x31)(x5 = x23∀ x31 : ο . x31)(x6 = x23∀ x31 : ο . x31)(x7 = x23∀ x31 : ο . x31)(x8 = x23∀ x31 : ο . x31)(x9 = x23∀ x31 : ο . x31)(x10 = x23∀ x31 : ο . x31)(x11 = x23∀ x31 : ο . x31)(x12 = x23∀ x31 : ο . x31)(x13 = x23∀ x31 : ο . x31)(x14 = x23∀ x31 : ο . x31)(x15 = x23∀ x31 : ο . x31)(x16 = x23∀ x31 : ο . x31)(x17 = x23∀ x31 : ο . x31)(x18 = x23∀ x31 : ο . x31)(x19 = x23∀ x31 : ο . x31)(x20 = x23∀ x31 : ο . x31)(x21 = x23∀ x31 : ο . x31)(x22 = x23∀ x31 : ο . x31)(x1 = x24∀ x31 : ο . x31)(x2 = x24∀ x31 : ο . x31)(x3 = x24∀ x31 : ο . x31)(x4 = x24∀ x31 : ο . x31)(x5 = x24∀ x31 : ο . x31)(x6 = x24∀ x31 : ο . x31)(x7 = x24∀ x31 : ο . x31)(x8 = x24∀ x31 : ο . x31)(x9 = x24∀ x31 : ο . x31)(x10 = x24∀ x31 : ο . x31)(x11 = x24∀ x31 : ο . x31)(x12 = x24∀ x31 : ο . x31)(x13 = x24∀ x31 : ο . x31)(x14 = x24∀ x31 : ο . x31)(x15 = x24∀ x31 : ο . x31)(x16 = x24∀ x31 : ο . x31)(x17 = x24∀ x31 : ο . x31)(x18 = x24∀ x31 : ο . x31)(x19 = x24∀ x31 : ο . x31)(x20 = x24∀ x31 : ο . x31)(x21 = x24∀ x31 : ο . x31)(x22 = x24∀ x31 : ο . x31)(x23 = x24∀ x31 : ο . x31)(x1 = x25∀ x31 : ο . x31)(x2 = x25∀ x31 : ο . x31)(x3 = x25∀ x31 : ο . x31)(x4 = x25∀ x31 : ο . x31)(x5 = x25∀ x31 : ο . x31)(x6 = x25∀ x31 : ο . x31)(x7 = x25∀ x31 : ο . x31)(x8 = x25∀ x31 : ο . x31)(x9 = x25∀ x31 : ο . x31)(x10 = x25∀ x31 : ο . x31)(x11 = x25∀ x31 : ο . x31)(x12 = x25∀ x31 : ο . x31)(x13 = x25∀ x31 : ο . x31)(x14 = x25∀ x31 : ο . x31)(x15 = x25∀ x31 : ο . x31)(x16 = x25∀ x31 : ο . x31)(x17 = x25∀ x31 : ο . x31)(x18 = x25∀ x31 : ο . x31)(x19 = x25∀ x31 : ο . x31)(x20 = x25∀ x31 : ο . x31)(x21 = x25∀ x31 : ο . x31)(x22 = x25∀ x31 : ο . x31)(x23 = x25∀ x31 : ο . x31)(x24 = x25∀ x31 : ο . x31)(x1 = x26∀ x31 : ο . x31)(x2 = x26∀ x31 : ο . x31)(x3 = x26∀ x31 : ο . x31)(x4 = x26∀ x31 : ο . x31)(x5 = x26∀ x31 : ο . x31)(x6 = x26∀ x31 : ο . x31)(x7 = x26∀ x31 : ο . x31)(x8 = x26∀ x31 : ο . x31)(x9 = x26∀ x31 : ο . x31)(x10 = x26∀ x31 : ο . x31)(x11 = x26∀ x31 : ο . x31)(x12 = x26∀ x31 : ο . x31)(x13 = x26∀ x31 : ο . x31)(x14 = x26∀ x31 : ο . x31)(x15 = x26∀ x31 : ο . x31)(x16 = x26∀ x31 : ο . x31)(x17 = x26∀ x31 : ο . x31)(x18 = x26∀ x31 : ο . x31)(x19 = x26∀ x31 : ο . x31)(x20 = x26∀ x31 : ο . x31)(x21 = x26∀ x31 : ο . x31)(x22 = x26∀ x31 : ο . x31)(x23 = x26∀ x31 : ο . x31)(x24 = x26∀ x31 : ο . x31)(x25 = x26∀ x31 : ο . x31)(x1 = x27∀ x31 : ο . x31)(x2 = x27∀ x31 : ο . x31)(x3 = x27∀ x31 : ο . x31)(x4 = x27∀ x31 : ο . x31)(x5 = x27∀ x31 : ο . x31)(x6 = x27∀ x31 : ο . x31)(x7 = x27∀ x31 : ο . x31)(x8 = x27∀ x31 : ο . x31)(x9 = x27∀ x31 : ο . x31)(x10 = x27∀ x31 : ο . x31)(x11 = x27∀ x31 : ο . x31)(x12 = x27∀ x31 : ο . x31)(x13 = x27∀ x31 : ο . x31)(x14 = x27∀ x31 : ο . x31)(x15 = x27∀ x31 : ο . x31)(x16 = x27∀ x31 : ο . x31)(x17 = x27∀ x31 : ο . x31)(x18 = x27∀ x31 : ο . x31)(x19 = x27∀ x31 : ο . x31)(x20 = x27∀ x31 : ο . x31)(x21 = x27∀ x31 : ο . x31)(x22 = x27∀ x31 : ο . x31)(x23 = x27∀ x31 : ο . x31)(x24 = x27∀ x31 : ο . x31)(x25 = x27∀ x31 : ο . x31)(x26 = x27∀ x31 : ο . x31)(x1 = x28∀ x31 : ο . x31)(x2 = x28∀ x31 : ο . x31)(x3 = x28∀ x31 : ο . x31)(x4 = x28∀ x31 : ο . x31)(x5 = x28∀ x31 : ο . x31)(x6 = x28∀ x31 : ο . x31)(x7 = x28∀ x31 : ο . x31)(x8 = x28∀ x31 : ο . x31)(x9 = x28∀ x31 : ο . x31)(x10 = x28∀ x31 : ο . x31)(x11 = x28∀ x31 : ο . x31)(x12 = x28∀ x31 : ο . x31)(x13 = x28∀ x31 : ο . x31)(x14 = x28∀ x31 : ο . x31)(x15 = x28∀ x31 : ο . x31)(x16 = x28∀ x31 : ο . x31)(x17 = x28∀ x31 : ο . x31)(x18 = x28∀ x31 : ο . x31)(x19 = x28∀ x31 : ο . x31)(x20 = x28∀ x31 : ο . x31)(x21 = x28∀ x31 : ο . x31)(x22 = x28∀ x31 : ο . x31)(x23 = x28∀ x31 : ο . x31)(x24 = x28∀ x31 : ο . x31)(x25 = x28∀ x31 : ο . x31)(x26 = x28∀ x31 : ο . x31)(x27 = x28∀ x31 : ο . x31)(x1 = x29∀ x31 : ο . x31)(x2 = x29∀ x31 : ο . x31)(x3 = x29∀ x31 : ο . x31)(x4 = x29∀ x31 : ο . x31)(x5 = x29∀ x31 : ο . x31)(x6 = x29∀ x31 : ο . x31)(x7 = x29∀ x31 : ο . x31)(x8 = x29∀ x31 : ο . x31)(x9 = x29∀ x31 : ο . x31)(x10 = x29∀ x31 : ο . x31)(x11 = x29∀ x31 : ο . x31)(x12 = x29∀ x31 : ο . x31)(x13 = x29∀ x31 : ο . x31)(x14 = x29∀ x31 : ο . x31)(x15 = x29∀ x31 : ο . x31)(x16 = x29∀ x31 : ο . x31)(x17 = x29∀ x31 : ο . x31)(x18 = x29∀ x31 : ο . x31)(x19 = x29∀ x31 : ο . x31)(x20 = x29∀ x31 : ο . x31)(x21 = x29∀ x31 : ο . x31)(x22 = x29∀ x31 : ο . x31)(x23 = x29∀ x31 : ο . x31)(x24 = x29∀ x31 : ο . x31)(x25 = x29∀ x31 : ο . x31)(x26 = x29∀ x31 : ο . x31)(x27 = x29∀ x31 : ο . x31)(x28 = x29∀ x31 : ο . x31)(x1 = x30∀ x31 : ο . x31)(x2 = x30∀ x31 : ο . x31)(x3 = x30∀ x31 : ο . x31)(x4 = x30∀ x31 : ο . x31)(x5 = x30∀ x31 : ο . x31)(x6 = x30∀ x31 : ο . x31)(x7 = x30∀ x31 : ο . x31)(x8 = x30∀ x31 : ο . x31)(x9 = x30∀ x31 : ο . x31)(x10 = x30∀ x31 : ο . x31)(x11 = x30∀ x31 : ο . x31)(x12 = x30∀ x31 : ο . x31)(x13 = x30∀ x31 : ο . x31)(x14 = x30∀ x31 : ο . x31)(x15 = x30∀ x31 : ο . x31)(x16 = x30∀ x31 : ο . x31)(x17 = x30∀ x31 : ο . x31)(x18 = x30∀ x31 : ο . x31)(x19 = x30∀ x31 : ο . x31)(x20 = x30∀ x31 : ο . x31)(x21 = x30∀ x31 : ο . x31)(x22 = x30∀ x31 : ο . x31)(x23 = x30∀ x31 : ο . x31)(x24 = x30∀ x31 : ο . x31)(x25 = x30∀ x31 : ο . x31)(x26 = x30∀ x31 : ο . x31)(x27 = x30∀ x31 : ο . x31)(x28 = x30∀ x31 : ο . x31)(x29 = x30∀ x31 : ο . x31)atleastp u30 x0
type
prop
theory
HotG
name
-
proof
PUXoM..
Megalodon
-
proofgold address
TMURU..
creator
19851 Pr4zB../f9574..
owner
19851 Pr4zB../f9574..
term root
88e43..