theorem
proved
wrapper
mul_comm'
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formal statement (Lean)
391theorem mul_comm' (a b : LogicInt) : a * b = b * a := by
proof body
One-line wrapper that applies rw.
392 rw [eq_iff_toInt_eq, toInt_mul, toInt_mul]; ring
393
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
-
mul_comm'
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
ratRel_trans
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
mul_comm'
in IndisputableMonolith.Foundation.RealsFromLogic
decl_use
depends on (6)
Lean names referenced from this declaration's body.
-
eq_iff_toInt_eq
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
LogicInt
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
toInt_mul
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
mul_comm'
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
mul_comm'
in IndisputableMonolith.Foundation.RealsFromLogic
decl_use
-
LogicInt
in IndisputableMonolith.NumberTheory.LogicLedgerInterop
decl_use