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formal statement (Lean)
313theorem toInt_zero : toInt (0 : LogicInt) = 0 := by
proof body
Term-mode proof.
314 show toInt (mk LogicNat.zero LogicNat.zero) = 0
315 rw [toInt_mk]
316 simp [toNat_zero]
317
used by (15)
From the project-wide theorem graph. These declarations reference this one in their body.
-
add_left_neg'
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
add_zero'
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
mul_eq_zero
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
mul_right_cancel
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
zero_add'
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
fromRat
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
fromRat_toRat
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
ofLogicInt
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
toRat_add
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
toRatCore_respects
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
toRat_mul
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
toRat_neg
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
toRat_zero
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
zero
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
depends on (8)
Lean names referenced from this declaration's body.
-
LogicNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
-
toNat_zero
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
-
LogicInt
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
mk
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
toInt
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
toInt_mk
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
mk
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
LogicInt
in IndisputableMonolith.NumberTheory.LogicLedgerInterop
decl_use