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formal statement (Lean)
25theorem boolCost_symm (p q : Bool) : boolCost p q = boolCost q p := by
proof body
Tactic-mode proof.
26 by_cases h : p = q
27 · subst h
28 simp [boolCost]
29 · have h' : q ≠ p := by intro hq; exact h hq.symm
30 simp [boolCost, h, h']
31
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
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boolCost_symm
in IndisputableMonolith.Foundation.DiscreteLogicRealization
decl_use
-
boolRealization
in IndisputableMonolith.Foundation.DiscreteLogicRealization
decl_use
-
strictBooleanRealization
in IndisputableMonolith.Foundation.UniversalForcing.Strict.DiscreteBoolean
decl_use
depends on (3)
Lean names referenced from this declaration's body.
-
boolCost
in IndisputableMonolith.Foundation.DiscreteLogicRealization
decl_use
-
boolCost_symm
in IndisputableMonolith.Foundation.DiscreteLogicRealization
decl_use
-
boolCost
in IndisputableMonolith.Foundation.UniversalForcing.Strict.DiscreteBoolean
decl_use