| POINCARE | French mathematician Henri whose famous conjecture was finally proven in 2003 |
| FERMAT | Mathematician whose most famous theorem was finally proven by Andrew Wiles |
| HENRI | Mathematician Poincare with a famous conjecture |
| MATISSE | Fauvist or "wild beast" Henri, whose collage, cut-out or gouache decoupee The Snail consists of a spiral of shapes in black, blue, green, lilac, orange, purple, red and yellow (7) |
| HENRIPOINCARE | French mathematician, whose topological Conjecture was proved in 2003 |
| BABBAGE | Whose (Charles ___) "analytical engine" calculator designed in the 1830s was finally built in 1991? (7) |
| SUPERNOVA | Star in USA, proven in variety (9) |
| CAIRO | City whose famous opera house was destroyed by fire in 1971 |
| DESCARTES | 17th century French philosopher whose famous dictum was 'I think, therefore I am' (9) |
| FLOJO | Moniker of former American sprinter whose world record set in the 1988 100m women's sprint event was finally broken in 2020 (3-2) |
| WATERLOO | 1815 battle in Belgium in which Napoleon was finally defeated (8) |
| ROMANIA | Ceausescu was finally and bloodily removed from power in this nation in 1989 |
| INTENT | Something to be proven in a criminal case |
| TESTED | Tried and ____, expression meaning 'proven in the past to be reliable' (6) |
| ALBINONI | Italian baroque composer whose famous 'Adagio' was finished by another (8) |
| ROSA | Parks whose famous bus is in the Henry Ford Museum |
| BOWSTREET | Thoroughfare whose famous magistrates' court closed in 2006 |
| GRAHAMWALKER | TT winner for Rudge in 1931 whose famous son recently passed away. (6,6) |
| ORR | Hockey legend whose famous dive is memorialized by a statue in Boston |
| PIAF | Edith _, French singer whose famous songs include 1960's Non, Je Ne Regrette Rien (4) |