structure
definition
ImaginaryUnitFalsifier
show as:
view math explainer →
open explainer
Generate a durable explainer page for this declaration.
open lean source
IndisputableMonolith.Mathematics.ImaginaryUnit on GitHub at line 225.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
formal source
222 1. i² ≠ -1 (impossible, it's definitional)
223 2. Physics didn't need complex numbers (many alternatives tried, all failed)
224 3. 8-tick structure not fundamental -/
225structure ImaginaryUnitFalsifier where
226 i_squared_not_neg1 : Prop
227 physics_no_complex : Prop
228 eight_tick_not_fundamental : Prop
229 falsified : i_squared_not_neg1 → False -- This is definitionally false
230
231end ImaginaryUnit
232end Mathematics
233end IndisputableMonolith