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formal statement (Lean)
50@[simp] theorem modularInterpret_zero (k : ℕ) :
51 modularInterpret k ArithmeticFromLogic.LogicNat.zero = ⟨0, modulus_pos k⟩ := by
proof body
Term-mode proof.
52 apply Fin.ext
53 change 0 % modulus k = 0
54 exact Nat.zero_mod (modulus k)
55
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (4)
Lean names referenced from this declaration's body.
-
LogicNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
-
modularInterpret
in IndisputableMonolith.Foundation.ModularLogicRealization
decl_use
-
modulus
in IndisputableMonolith.Foundation.ModularLogicRealization
decl_use
-
modulus_pos
in IndisputableMonolith.Foundation.ModularLogicRealization
decl_use