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structure

ImaginaryUnitFalsifier

definition
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module
IndisputableMonolith.Mathematics.ImaginaryUnit
domain
Mathematics
line
225 · github
papers citing
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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

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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